112590406016 has 64 divisors (see below), whose sum is σ = 246157954560. Its totient is φ = 50870899200.

The previous prime is 112590406013. The next prime is 112590406043. The reversal of 112590406016 is 610604095211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112590406013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4280 + ... + 474551.

It is an arithmetic number, because the mean of its divisors is an integer number (3846218040).

Almost surely, 2^112590406016 is an apocalyptic number.

112590406016 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 112590406016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123078977280).

112590406016 is an abundant number, since it is smaller than the sum of its proper divisors (133567548544).

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

112590406016 is a wasteful number, since it uses less digits than its factorization.

112590406016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479023 (or 479011 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The spelling of 112590406016 in words is "one hundred twelve billion, five hundred ninety million, four hundred six thousand, sixteen".