45765189184 has 315 divisors, whose sum is σ = 114908965635. Its totient is φ = 18072637440.

The previous prime is 45765189149. The next prime is 45765189199. The reversal of 45765189184 is 48198156754.

The square root of 45765189184 is 213928.

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

It can be written as a sum of positive squares in 4 ways, for example, as 413227584 + 45351961600 = 20328^2 + 212960^2 .

It is a super-3 number, since 3×45765189184³ (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

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, 2692069944 + ... + 2692069960.

Almost surely, 2^45765189184 is an apocalyptic number.

45765189184 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

45765189184 is the 213928-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45765189184

45765189184 is an abundant number, since it is smaller than the sum of its proper divisors (69143776451).

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

45765189184 is an equidigital number, since it uses as much as digits as its factorization.

45765189184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 43 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 58.

The spelling of 45765189184 in words is "forty-five billion, seven hundred sixty-five million, one hundred eighty-nine thousand, one hundred eighty-four".