100713464893440 has 2496 divisors, whose sum is σ = 436638226752000. Its totient is φ = 21386093395968.

The previous prime is 100713464893421. The next prime is 100713464893441. The reversal of 100713464893440 is 44398464317001.

100713464893440 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 134 + 64 + 8 + 9 + 3 + 440 = 666.

It is not an unprimeable number, because it can be changed into a prime (100713464893441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 89205902796 + ... + 89205903924.

It is an arithmetic number, because the mean of its divisors is an integer number (174935187000).

Almost surely, 2^{100713464893440} is an apocalyptic number.

100713464893440 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 100713464893440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218319113376000).

100713464893440 is an abundant number, since it is smaller than the sum of its proper divisors (335924761858560).

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

100713464893440 is a wasteful number, since it uses less digits than its factorization.

100713464893440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 100713464893440 in words is "one hundred trillion, seven hundred thirteen billion, four hundred sixty-four million, eight hundred ninety-three thousand, four hundred forty".