112688064400 has 30 divisors (see below), whose sum is σ = 270733075682. Its totient is φ = 45075225600.

The previous prime is 112688064343. The next prime is 112688064413. The reversal of 112688064400 is 4460886211.

It can be written as a sum of positive squares in 3 ways, for example, as 4691702016 + 107996362384 = 68496^2 + 328628^2 .

It is a super-4 number, since 4×112688064400⁴ (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 140859681 + ... + 140860480.

Almost surely, 2^112688064400 is an apocalyptic number.

112688064400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112688064400 is an abundant number, since it is smaller than the sum of its proper divisors (158045011282).

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

112688064400 is a wasteful number, since it uses less digits than its factorization.

112688064400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281720179 (or 281720168 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The spelling of 112688064400 in words is "one hundred twelve billion, six hundred eighty-eight million, sixty-four thousand, four hundred".