113166006912 has 576 divisors, whose sum is σ = 407655892800. Its totient is φ = 29415260160.

The previous prime is 113166006859. The next prime is 113166006937. The reversal of 113166006912 is 219600661311.

113166006912 is a `hidden beast` number, since 1 + 1 + 31 + 6 + 600 + 6 + 9 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 131741139 + ... + 131741997.

It is an arithmetic number, because the mean of its divisors is an integer number (707735925).

Almost surely, 2^113166006912 is an apocalyptic number.

113166006912 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 113166006912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203827946400).

113166006912 is an abundant number, since it is smaller than the sum of its proper divisors (294489885888).

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

113166006912 is a wasteful number, since it uses less digits than its factorization.

113166006912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 113166006912 in words is "one hundred thirteen billion, one hundred sixty-six million, six thousand, nine hundred twelve".