112630795691040 has 1536 divisors, whose sum is σ = 444342786048000. Its totient is φ = 26631990190080.

The previous prime is 112630795691003. The next prime is 112630795691041. The reversal of 112630795691040 is 40196597036211.

112630795691040 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 3 + 0 + 79 + 569 + 1 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×112630795691040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (112630795691041) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 110530711651 + ... + 110530712669.

It is an arithmetic number, because the mean of its divisors is an integer number (289285668000).

Almost surely, 2^{112630795691040} is an apocalyptic number.

112630795691040 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 112630795691040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222171393024000).

112630795691040 is an abundant number, since it is smaller than the sum of its proper divisors (331711990356960).

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

112630795691040 is a wasteful number, since it uses less digits than its factorization.

112630795691040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 112630795691040 in words is "one hundred twelve trillion, six hundred thirty billion, seven hundred ninety-five million, six hundred ninety-one thousand, forty".