309305047104 has 63 divisors (see below), whose sum is σ = 886605331053. Its totient is φ = 103097233152.

The previous prime is 309305047069. The next prime is 309305047111. The reversal of 309305047104 is 401740503903.

The square root of 309305047104 is 556152.

It is a perfect power (a square), and thus also a powerful number.

309305047104 is a `hidden beast` number, since 309 + 305 + 0 + 47 + 1 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3221697600 + 306083349504 = 56760^2 + 553248^2 .

It is a super-2 number, since 2×309305047104² (a number of 24 digits) contains 22 as substring.

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 8 ways as a sum of consecutive naturals, for example, 13336062 + ... + 13359234.

Almost surely, 2^309305047104 is an apocalyptic number.

309305047104 is the 556152-nd square number.

It is an amenable number.

309305047104 is an abundant number, since it is smaller than the sum of its proper divisors (577300283949).

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

309305047104 is an frugal number, since it uses more digits than its factorization.

309305047104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46364 (or 23178 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Multiplying 309305047104 by its sum of digits (36), we get a square (11134981695744 = 3336912²).

309305047104 divided by its sum of digits (36) gives a square (8591806864 = 92692²).

The spelling of 309305047104 in words is "three hundred nine billion, three hundred five million, forty-seven thousand, one hundred four".