309551490864 has 420 divisors, whose sum is σ = 1129638077008. Its totient is φ = 80400418560.

The previous prime is 309551490839. The next prime is 309551490881. The reversal of 309551490864 is 468094155903.

309551490864 is a `hidden beast` number, since 3 + 0 + 9 + 551 + 4 + 9 + 0 + 86 + 4 = 666.

It is a super-2 number, since 2×309551490864² (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 309551490864.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 9863742 + ... + 9895074.

Almost surely, 2^309551490864 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 309551490864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564819038504).

309551490864 is an abundant number, since it is smaller than the sum of its proper divisors (820086586144).

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

309551490864 is a wasteful number, since it uses less digits than its factorization.

309551490864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31388 (or 31356 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 309551490864 in words is "three hundred nine billion, five hundred fifty-one million, four hundred ninety thousand, eight hundred sixty-four".