112335387518016 has 1344 divisors, whose sum is σ = 395879775363072. Its totient is φ = 30094891352064.

The previous prime is 112335387517981. The next prime is 112335387518129. The reversal of 112335387518016 is 610815783533211.

112335387518016 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 35 + 3 + 87 + 518 + 0 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12967257301 + ... + 12967265963.

It is an arithmetic number, because the mean of its divisors is an integer number (294553404288).

Almost surely, 2^{112335387518016} is an apocalyptic number.

112335387518016 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 112335387518016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197939887681536).

112335387518016 is an abundant number, since it is smaller than the sum of its proper divisors (283544387845056).

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

112335387518016 is a wasteful number, since it uses less digits than its factorization.

112335387518016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8880 (or 8867 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 112335387518016 in words is "one hundred twelve trillion, three hundred thirty-five billion, three hundred eighty-seven million, five hundred eighteen thousand, sixteen".