112399736956416 has 2000 divisors, whose sum is σ = 435231437655168. Its totient is φ = 28677390336000.

The previous prime is 112399736956337. The next prime is 112399736956433. The reversal of 112399736956416 is 614659637993211.

112399736956416 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 9 + 97 + 36 + 95 + 6 + 416 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 40128430216 + ... + 40128433016.

Almost surely, 2^{112399736956416} is an apocalyptic number.

112399736956416 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 112399736956416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217615718827584).

112399736956416 is an abundant number, since it is smaller than the sum of its proper divisors (322831700698752).

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

112399736956416 is an frugal number, since it uses more digits than its factorization.

112399736956416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2903 (or 2857 counting only the distinct ones).

The product of its digits is 396809280, while the sum is 72.

It can be divided in two parts, 112399 and 736956416, that added together give a triangular number (737068815 = T₃₈₃₉₄).

The spelling of 112399736956416 in words is "one hundred twelve trillion, three hundred ninety-nine billion, seven hundred thirty-six million, nine hundred fifty-six thousand, four hundred sixteen".