112619130624 has 1152 divisors, whose sum is σ = 459211253760. Its totient is φ = 26276659200.

The previous prime is 112619130623. The next prime is 112619130661. The reversal of 112619130624 is 426031916211.

It is a happy number.

112619130624 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 19 + 13 + 0 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112619130623) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 283675194 + ... + 283675590.

It is an arithmetic number, because the mean of its divisors is an integer number (398620880).

Almost surely, 2^112619130624 is an apocalyptic number.

112619130624 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 112619130624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229605626880).

112619130624 is an abundant number, since it is smaller than the sum of its proper divisors (346592123136).

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

112619130624 is a wasteful number, since it uses less digits than its factorization.

112619130624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 112619130624 in words is "one hundred twelve billion, six hundred nineteen million, one hundred thirty thousand, six hundred twenty-four".