45642904164 has 405 divisors, whose sum is σ = 143749322409. Its totient is φ = 12613423680.

The previous prime is 45642904127. The next prime is 45642904169. The reversal of 45642904164 is 46140924654.

The square root of 45642904164 is 213642.

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

45642904164 is a `hidden beast` number, since 4 + 564 + 29 + 0 + 4 + 1 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6751908900 + 38890995264 = 82170^2 + 197208^2 .

It is not an unprimeable number, because it can be changed into a prime (45642904169) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 549914467 + ... + 549914549.

Almost surely, 2^45642904164 is an apocalyptic number.

45642904164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

45642904164 is the 213642-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45642904164

45642904164 is an abundant number, since it is smaller than the sum of its proper divisors (98106418245).

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

45642904164 is a wasteful number, since it uses less digits than its factorization.

45642904164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 45642904164 in words is "forty-five billion, six hundred forty-two million, nine hundred four thousand, one hundred sixty-four".