112949665920 has 1536 divisors, whose sum is σ = 520956334080. Its totient is φ = 22729310208.

The previous prime is 112949665909. The next prime is 112949665937. The reversal of 112949665920 is 29566949211.

112949665920 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 49 + 6 + 6 + 592 + 0 = 666.

It is a super-3 number, since 3×112949665920³ (a number of 34 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 325503187 + ... + 325503533.

It is an arithmetic number, because the mean of its divisors is an integer number (339164280).

Almost surely, 2^112949665920 is an apocalyptic number.

112949665920 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 112949665920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260478167040).

112949665920 is an abundant number, since it is smaller than the sum of its proper divisors (408006668160).

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

112949665920 is a wasteful number, since it uses less digits than its factorization.

112949665920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 112949665920 in words is "one hundred twelve billion, nine hundred forty-nine million, six hundred sixty-five thousand, nine hundred twenty".