112676538240 has 1024 divisors, whose sum is σ = 476282880000. Its totient is φ = 24634368000.

The previous prime is 112676538211. The next prime is 112676538241. The reversal of 112676538240 is 42835676211.

112676538240 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 76 + 538 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112676538241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 566213661 + ... + 566213859.

It is an arithmetic number, because the mean of its divisors is an integer number (465120000).

Almost surely, 2^112676538240 is an apocalyptic number.

112676538240 is a gapful number since it is divisible by the number (10) 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 112676538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238141440000).

112676538240 is an abundant number, since it is smaller than the sum of its proper divisors (363606341760).

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

112676538240 is a wasteful number, since it uses less digits than its factorization.

112676538240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 112676538240 in words is "one hundred twelve billion, six hundred seventy-six million, five hundred thirty-eight thousand, two hundred forty".