1313504408664 has 256 divisors, whose sum is σ = 4260711628800. Its totient is φ = 367117951104.

The previous prime is 1313504408651. The next prime is 1313504408681. The reversal of 1313504408664 is 4668044053131.

1313504408664 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 504 + 4 + 0 + 86 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 206295609 + ... + 206301975.

It is an arithmetic number, because the mean of its divisors is an integer number (16643404800).

Almost surely, 2^{1313504408664} is an apocalyptic number.

1313504408664 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 1313504408664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2130355814400).

1313504408664 is an abundant number, since it is smaller than the sum of its proper divisors (2947207220136).

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

1313504408664 is a wasteful number, since it uses less digits than its factorization.

1313504408664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9339 (or 9329 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 1313504408664 in words is "one trillion, three hundred thirteen billion, five hundred four million, four hundred eight thousand, six hundred sixty-four".