112606478764416 has 640 divisors, whose sum is σ = 412615048507200. Its totient is φ = 29686477750272.

The previous prime is 112606478764393. The next prime is 112606478764499. The reversal of 112606478764416 is 614467874606211.

112606478764416 is a `hidden beast` number, since 1 + 1 + 2 + 60 + 6 + 478 + 7 + 64 + 41 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2484181240 + ... + 2484226568.

Almost surely, 2^{112606478764416} is an apocalyptic number.

112606478764416 is a gapful number since it is divisible by the number (16) 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 112606478764416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206307524253600).

112606478764416 is an abundant number, since it is smaller than the sum of its proper divisors (300008569742784).

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

112606478764416 is a wasteful number, since it uses less digits than its factorization.

112606478764416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48008 (or 47987 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 112606478764416 in words is "one hundred twelve trillion, six hundred six billion, four hundred seventy-eight million, seven hundred sixty-four thousand, four hundred sixteen".