45514808964 has 135 divisors (see below), whose sum is σ = 122186349285. Its totient is φ = 14285380320.

The previous prime is 45514808923. The next prime is 45514808987. The reversal of 45514808964 is 46980841554.

The square root of 45514808964 is 213342.

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

45514808964 is a `hidden beast` number, since 4 + 551 + 4 + 8 + 0 + 89 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 40727276100 + 4787532864 = 201810^2 + 69192^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 45514808964.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1230129954 + ... + 1230129990.

Almost surely, 2^45514808964 is an apocalyptic number.

45514808964 is the 213342-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45514808964

45514808964 is an abundant number, since it is smaller than the sum of its proper divisors (76671540321).

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

45514808964 is an frugal number, since it uses more digits than its factorization.

45514808964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 45514808964 in words is "forty-five billion, five hundred fourteen million, eight hundred eight thousand, nine hundred sixty-four".