30339628292164 has 81 divisors (see below), whose sum is σ = 55669896715671. Its totient is φ = 14467465451520.

The previous prime is 30339628291997. The next prime is 30339628292173. The reversal of 30339628292164 is 46129282693303.

The square root of 30339628292164 is 5508142.

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

It can be written as a sum of positive squares in 4 ways, for example, as 300459652164 + 30039168640000 = 548142^2 + 5480800^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 30339628292099 and 30339628292108.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24929850084 + ... + 24929851300.

Almost surely, 2^{30339628292164} is an apocalyptic number.

30339628292164 is the 5508142-nd square number.

It is an amenable number.

30339628292164 is a deficient number, since it is larger than the sum of its proper divisors (25330268423507).

30339628292164 is an frugal number, since it uses more digits than its factorization.

30339628292164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2646 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 58.

The spelling of 30339628292164 in words is "thirty trillion, three hundred thirty-nine billion, six hundred twenty-eight million, two hundred ninety-two thousand, one hundred sixty-four".