112535216640 has 960 divisors, whose sum is σ = 489794722560. Its totient is φ = 23197777920.

The previous prime is 112535216611. The next prime is 112535216663. The reversal of 112535216640 is 46612535211.

112535216640 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 3 + 5 + 2 + 1 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 112535216595 and 112535216604.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 406264182 + ... + 406264458.

It is an arithmetic number, because the mean of its divisors is an integer number (510202836).

Almost surely, 2^112535216640 is an apocalyptic number.

112535216640 is a gapful number since it is divisible by the number (10) 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 112535216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244897361280).

112535216640 is an abundant number, since it is smaller than the sum of its proper divisors (377259505920).

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

112535216640 is a wasteful number, since it uses less digits than its factorization.

112535216640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 112535216640 in words is "one hundred twelve billion, five hundred thirty-five million, two hundred sixteen thousand, six hundred forty".