112620146016 has 192 divisors, whose sum is σ = 349900701696. Its totient is φ = 31037299200.

The previous prime is 112620145991. The next prime is 112620146027. The reversal of 112620146016 is 610641026211.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 6470061 + ... + 6487443.

It is an arithmetic number, because the mean of its divisors is an integer number (1822399488).

Almost surely, 2^112620146016 is an apocalyptic number.

112620146016 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 112620146016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174950350848).

112620146016 is an abundant number, since it is smaller than the sum of its proper divisors (237280555680).

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

112620146016 is a wasteful number, since it uses less digits than its factorization.

112620146016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17745 (or 17737 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 112620146016 in words is "one hundred twelve billion, six hundred twenty million, one hundred forty-six thousand, sixteen".