112677497319744 has 1344 divisors, whose sum is σ = 430864250019840. Its totient is φ = 28419998515200.

The previous prime is 112677497319691. The next prime is 112677497319781. The reversal of 112677497319744 is 447913794776211.

112677497319744 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 7 + 7 + 497 + 3 + 1 + 97 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3551454409 + ... + 3551486135.

It is an arithmetic number, because the mean of its divisors is an integer number (320583519360).

Almost surely, 2^{112677497319744} is an apocalyptic number.

112677497319744 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 112677497319744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215432125009920).

112677497319744 is an abundant number, since it is smaller than the sum of its proper divisors (318186752700096).

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

112677497319744 is a wasteful number, since it uses less digits than its factorization.

112677497319744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31898 (or 31876 counting only the distinct ones).

The product of its digits is 448084224, while the sum is 72.

The spelling of 112677497319744 in words is "one hundred twelve trillion, six hundred seventy-seven billion, four hundred ninety-seven million, three hundred nineteen thousand, seven hundred forty-four".