112760976384 has 396 divisors, whose sum is σ = 387628173504. Its totient is φ = 31462760448.

The previous prime is 112760976343. The next prime is 112760976437. The reversal of 112760976384 is 483679067211.

112760976384 is a `hidden beast` number, since 1 + 1 + 27 + 609 + 7 + 6 + 3 + 8 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 112760976384.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19415209 + ... + 19421015.

It is an arithmetic number, because the mean of its divisors is an integer number (978859024).

Almost surely, 2^112760976384 is an apocalyptic number.

112760976384 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 112760976384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193814086752).

112760976384 is an abundant number, since it is smaller than the sum of its proper divisors (274867197120).

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

112760976384 is a wasteful number, since it uses less digits than its factorization.

112760976384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5890 (or 5862 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 112760976384 in words is "one hundred twelve billion, seven hundred sixty million, nine hundred seventy-six thousand, three hundred eighty-four".