1231509314304 has 162 divisors, whose sum is σ = 3639472217108. Its totient is φ = 400489574400.

The previous prime is 1231509314261. The next prime is 1231509314317. The reversal of 1231509314304 is 4034139051321.

1231509314304 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 509 + 3 + 143 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3714039 + ... + 4032009.

Almost surely, 2^{1231509314304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1231509314304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819736108554).

1231509314304 is an abundant number, since it is smaller than the sum of its proper divisors (2407962902804).

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

1231509314304 is an equidigital number, since it uses as much as digits as its factorization.

1231509314304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318075 (or 318017 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 1231509314304 in words is "one trillion, two hundred thirty-one billion, five hundred nine million, three hundred fourteen thousand, three hundred four".