112426148016 has 1200 divisors, whose sum is σ = 441379749888. Its totient is φ = 27303091200.

The previous prime is 112426147961. The next prime is 112426148089. The reversal of 112426148016 is 610841624211.

112426148016 is a `hidden beast` number, since 1 + 1 + 24 + 2 + 614 + 8 + 0 + 16 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 588618481 + ... + 588618671.

Almost surely, 2^112426148016 is an apocalyptic number.

112426148016 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 112426148016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220689874944).

112426148016 is an abundant number, since it is smaller than the sum of its proper divisors (328953601872).

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

112426148016 is a wasteful number, since it uses less digits than its factorization.

112426148016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 112426148016 in words is "one hundred twelve billion, four hundred twenty-six million, one hundred forty-eight thousand, sixteen".