1312901904384 has 864 divisors, whose sum is σ = 4556544632640. Its totient is φ = 362943479808.

The previous prime is 1312901904383. The next prime is 1312901904421. The reversal of 1312901904384 is 4834091092131.

1312901904384 is a `hidden beast` number, since 1 + 3 + 1 + 29 + 0 + 190 + 438 + 4 = 666.

It is a super-6 number, since 6×1312901904384⁶ (a number of 74 digits) contains 666666 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312901904383) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6664476574 + ... + 6664476770.

It is an arithmetic number, because the mean of its divisors is an integer number (5273778510).

Almost surely, 2^{1312901904384} is an apocalyptic number.

1312901904384 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 1312901904384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2278272316320).

1312901904384 is an abundant number, since it is smaller than the sum of its proper divisors (3243642728256).

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

1312901904384 is a wasteful number, since it uses less digits than its factorization.

1312901904384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 1312901904384 in words is "one trillion, three hundred twelve billion, nine hundred one million, nine hundred four thousand, three hundred eighty-four".