30824122624 has 27 divisors (see below), whose sum is σ = 61533446233. Its totient is φ = 15410656768.

The previous prime is 30824122619. The next prime is 30824122639. The reversal of 30824122624 is 42622142803.

The square root of 30824122624 is 175568.

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

It can be written as a sum of positive squares in only one way, i.e., 17360697600 + 13463425024 = 131760^2 + 116032^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 30824122624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2803602 + ... + 2814574.

Almost surely, 2^30824122624 is an apocalyptic number.

30824122624 is the 175568-th square number.

It is an amenable number.

30824122624 is a deficient number, since it is larger than the sum of its proper divisors (30709323609).

30824122624 is an frugal number, since it uses more digits than its factorization.

30824122624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21962 (or 10975 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The spelling of 30824122624 in words is "thirty billion, eight hundred twenty-four million, one hundred twenty-two thousand, six hundred twenty-four".