112362631410624 has 224 divisors, whose sum is σ = 340732163498496. Its totient is φ = 32012082524160.

The previous prime is 112362631410563. The next prime is 112362631410641. The reversal of 112362631410624 is 426014136263211.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3627979459 + ... + 3628010429.

It is an arithmetic number, because the mean of its divisors is an integer number (1521125729904).

Almost surely, 2^{112362631410624} is an apocalyptic number.

112362631410624 is a gapful number since it is divisible by the number (14) 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 112362631410624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170366081749248).

112362631410624 is an abundant number, since it is smaller than the sum of its proper divisors (228369532087872).

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

112362631410624 is a wasteful number, since it uses less digits than its factorization.

112362631410624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38603 (or 38593 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

Adding to 112362631410624 its reverse (426014136263211), we get a palindrome (538376767673835).

The spelling of 112362631410624 in words is "one hundred twelve trillion, three hundred sixty-two billion, six hundred thirty-one million, four hundred ten thousand, six hundred twenty-four".