45965644816 has 405 divisors, whose sum is σ = 122338137213. Its totient is φ = 16671432960.

The previous prime is 45965644789. The next prime is 45965644817. The reversal of 45965644816 is 61844656954.

The square root of 45965644816 is 214396.

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., 6799651600 + 39165993216 = 82460^2 + 197904^2 .

It is a super-2 number, since 2×45965644816² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

Its product of digits (24883200) is a multiple of the sum of its prime divisors (72).

It is not an unprimeable number, because it can be changed into a prime (45965644817) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 1482762721 + ... + 1482762751.

Almost surely, 2^45965644816 is an apocalyptic number.

45965644816 is the 214396-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45965644816

45965644816 is an abundant number, since it is smaller than the sum of its proper divisors (76372492397).

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

45965644816 is a wasteful number, since it uses less digits than its factorization.

45965644816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 72 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 58.

The spelling of 45965644816 in words is "forty-five billion, nine hundred sixty-five million, six hundred forty-four thousand, eight hundred sixteen".