112416413265632 has 384 divisors, whose sum is σ = 286271704147968. Its totient is φ = 42317910835200.

The previous prime is 112416413265623. The next prime is 112416413265719. The reversal of 112416413265632 is 236562314614211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3543895532 + ... + 3543927252.

It is an arithmetic number, because the mean of its divisors is an integer number (745499229552).

Almost surely, 2^{112416413265632} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112416413265632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143135852073984).

112416413265632 is an abundant number, since it is smaller than the sum of its proper divisors (173855290882336).

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

112416413265632 is a wasteful number, since it uses less digits than its factorization.

112416413265632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32762 (or 32754 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 47.

Adding to 112416413265632 its reverse (236562314614211), we get a palindrome (348978727879843).

The spelling of 112416413265632 in words is "one hundred twelve trillion, four hundred sixteen billion, four hundred thirteen million, two hundred sixty-five thousand, six hundred thirty-two".