112154352416 has 288 divisors, whose sum is σ = 257209924608. Its totient is φ = 47979233280.

The previous prime is 112154352403. The next prime is 112154352461. The reversal of 112154352416 is 614253451211.

It is a happy number.

112154352416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 481349036 + ... + 481349268.

It is an arithmetic number, because the mean of its divisors is an integer number (893090016).

Almost surely, 2^112154352416 is an apocalyptic number.

112154352416 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 112154352416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128604962304).

112154352416 is an abundant number, since it is smaller than the sum of its proper divisors (145055572192).

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

112154352416 is a wasteful number, since it uses less digits than its factorization.

112154352416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 379 counting only the distinct ones).

The product of its digits is 28800, while the sum is 35.

The spelling of 112154352416 in words is "one hundred twelve billion, one hundred fifty-four million, three hundred fifty-two thousand, four hundred sixteen".