13731337604640 has 96 divisors (see below), whose sum is σ = 44745220860480. Its totient is φ = 3535424850944.

The previous prime is 13731337604639. The next prime is 13731337604693. The reversal of 13731337604640 is 4640673313731.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13731337604640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 493209414 + ... + 493237253.

It is an arithmetic number, because the mean of its divisors is an integer number (466096050630).

Almost surely, 2^{13731337604640} is an apocalyptic number.

13731337604640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13731337604640 is an abundant number, since it is smaller than the sum of its proper divisors (31013883255840).

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

13731337604640 is a wasteful number, since it uses less digits than its factorization.

13731337604640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986446714 (or 986446706 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 48.

The spelling of 13731337604640 in words is "thirteen trillion, seven hundred thirty-one billion, three hundred thirty-seven million, six hundred four thousand, six hundred forty".