112153509033216 has 576 divisors, whose sum is σ = 363300714362880. Its totient is φ = 29983997952000.

The previous prime is 112153509033173. The next prime is 112153509033257. The reversal of 112153509033216 is 612330905351211.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13465418940 + ... + 13465427268.

It is an arithmetic number, because the mean of its divisors is an integer number (630730406880).

Almost surely, 2^{112153509033216} is an apocalyptic number.

112153509033216 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 112153509033216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181650357181440).

112153509033216 is an abundant number, since it is smaller than the sum of its proper divisors (251147205329664).

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

112153509033216 is a wasteful number, since it uses less digits than its factorization.

112153509033216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9210 (or 9196 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 42.

The spelling of 112153509033216 in words is "one hundred twelve trillion, one hundred fifty-three billion, five hundred nine million, thirty-three thousand, two hundred sixteen".