112097405952 has 880 divisors, whose sum is σ = 416447051328. Its totient is φ = 29302456320.

The previous prime is 112097405929. The next prime is 112097405971. The reversal of 112097405952 is 259504790211.

112097405952 is a `hidden beast` number, since 1 + 12 + 0 + 9 + 7 + 40 + 595 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 112097405898 and 112097405907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 404683638 + ... + 404683914.

Almost surely, 2^112097405952 is an apocalyptic number.

112097405952 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 112097405952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208223525664).

112097405952 is an abundant number, since it is smaller than the sum of its proper divisors (304349645376).

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

112097405952 is a wasteful number, since it uses less digits than its factorization.

112097405952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 112097405952 in words is "one hundred twelve billion, ninety-seven million, four hundred five thousand, nine hundred fifty-two".