112399651786752 has 416 divisors, whose sum is σ = 363505644687360. Its totient is φ = 34038187130880.

The previous prime is 112399651786693. The next prime is 112399651786811. The reversal of 112399651786752 is 257687156993211.

112399651786752 is a `hidden beast` number, since 1 + 1 + 2 + 39 + 9 + 6 + 517 + 8 + 6 + 75 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (112399651786693) and next prime (112399651786811).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1906244823 + ... + 1906303785.

Almost surely, 2^{112399651786752} is an apocalyptic number.

112399651786752 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 112399651786752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181752822343680).

112399651786752 is an abundant number, since it is smaller than the sum of its proper divisors (251105992900608).

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

112399651786752 is a wasteful number, since it uses less digits than its factorization.

112399651786752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60574 (or 60546 counting only the distinct ones).

The product of its digits is 342921600, while the sum is 72.

The spelling of 112399651786752 in words is "one hundred twelve trillion, three hundred ninety-nine billion, six hundred fifty-one million, seven hundred eighty-six thousand, seven hundred fifty-two".