45665860553104 has 135 divisors (see below), whose sum is σ = 97750594160737. Its totient is φ = 20651384512000.

The previous prime is 45665860553101. The next prime is 45665860553207. The reversal of 45665860553104 is 40135506856654.

The square root of 45665860553104 is 6757652.

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., 45211476706704 + 454383846400 = 6723948^2 + 674080^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45665860553101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 113879951304 + ... + 113879951704.

Almost surely, 2^{45665860553104} is an apocalyptic number.

45665860553104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

45665860553104 is the 6757652-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45665860553104

45665860553104 is an abundant number, since it is smaller than the sum of its proper divisors (52084733607633).

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

45665860553104 is an frugal number, since it uses more digits than its factorization.

45665860553104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 51840000, while the sum is 58.

The spelling of 45665860553104 in words is "forty-five trillion, six hundred sixty-five billion, eight hundred sixty million, five hundred fifty-three thousand, one hundred four".