309964921344 has 560 divisors, whose sum is σ = 1009867364352. Its totient is φ = 94434729984.

The previous prime is 309964921337. The next prime is 309964921381. The reversal of 309964921344 is 443129469903.

309964921344 is a `hidden beast` number, since 30 + 9 + 96 + 492 + 1 + 34 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 616232197 + ... + 616232699.

Almost surely, 2^309964921344 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 309964921344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504933682176).

309964921344 is an abundant number, since it is smaller than the sum of its proper divisors (699902443008).

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

309964921344 is an equidigital number, since it uses as much as digits as its factorization.

309964921344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 309964921344 in words is "three hundred nine billion, nine hundred sixty-four million, nine hundred twenty-one thousand, three hundred forty-four".