112396711597632 has 1344 divisors, whose sum is σ = 413788677120000. Its totient is φ = 28915474452480.

The previous prime is 112396711597631. The next prime is 112396711597693. The reversal of 112396711597632 is 236795117693211.

112396711597632 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 9 + 6 + 7 + 1 + 1 + 597 + 6 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×112396711597632² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 112396711597632.

It is not an unprimeable number, because it can be changed into a prime (112396711597631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 126715570693 + ... + 126715571579.

It is an arithmetic number, because the mean of its divisors is an integer number (307878480000).

Almost surely, 2^{112396711597632} is an apocalyptic number.

112396711597632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112396711597632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206894338560000).

112396711597632 is an abundant number, since it is smaller than the sum of its proper divisors (301391965522368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112396711597632 is a wasteful number, since it uses less digits than its factorization.

112396711597632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1402 counting only the distinct ones).

The product of its digits is 25719120, while the sum is 63.

The spelling of 112396711597632 in words is "one hundred twelve trillion, three hundred ninety-six billion, seven hundred eleven million, five hundred ninety-seven thousand, six hundred thirty-two".