46829825604 has 27 divisors (see below), whose sum is σ = 118378674687. Its totient is φ = 15609509064.

The previous prime is 46829825593. The next prime is 46829825611. The reversal of 46829825604 is 40652892864.

The square root of 46829825604 is 216402.

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

46829825604 is a `hidden beast` number, since 4 + 6 + 8 + 2 + 9 + 8 + 25 + 604 = 666.

46829825604 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×46829825604² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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, 1280379 + ... + 1316445.

Almost surely, 2^46829825604 is an apocalyptic number.

46829825604 is the 216402-nd square number.

It is an amenable number.

46829825604 is an abundant number, since it is smaller than the sum of its proper divisors (71548849083).

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

46829825604 is an frugal number, since it uses more digits than its factorization.

46829825604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72144 (or 36072 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 46829825604 in words is "forty-six billion, eight hundred twenty-nine million, eight hundred twenty-five thousand, six hundred four".