112761765494784 has 720 divisors, whose sum is σ = 385655973595200. Its totient is φ = 32164414488576.

The previous prime is 112761765494699. The next prime is 112761765494863. The reversal of 112761765494784 is 487494567167211.

112761765494784 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 6 + 1 + 7 + 6 + 549 + 4 + 78 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (568995840) is a multiple of the sum of its prime divisors (2520).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 75729861912 + ... + 75729863400.

It is an arithmetic number, because the mean of its divisors is an integer number (535633296660).

Almost surely, 2^{112761765494784} is an apocalyptic number.

112761765494784 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 112761765494784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192827986797600).

112761765494784 is an abundant number, since it is smaller than the sum of its proper divisors (272894208100416).

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

112761765494784 is an frugal number, since it uses more digits than its factorization.

112761765494784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2561 (or 2520 counting only the distinct ones).

The product of its digits is 568995840, while the sum is 72.

The spelling of 112761765494784 in words is "one hundred twelve trillion, seven hundred sixty-one billion, seven hundred sixty-five million, four hundred ninety-four thousand, seven hundred eighty-four".