45765054784512 has 1320 divisors, whose sum is σ = 161218081252800. Its totient is φ = 12946211389440.

The previous prime is 45765054784489. The next prime is 45765054784517. The reversal of 45765054784512 is 21548745056754.

45765054784512 is a `hidden beast` number, since 4 + 5 + 7 + 6 + 5 + 0 + 547 + 84 + 5 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 45765054784512.

It is not an unprimeable number, because it can be changed into a prime (45765054784517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 147154516837 + ... + 147154517147.

It is an arithmetic number, because the mean of its divisors is an integer number (122134910040).

Almost surely, 2^{45765054784512} is an apocalyptic number.

45765054784512 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45765054784512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80609040626400).

45765054784512 is an abundant number, since it is smaller than the sum of its proper divisors (115453026468288).

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

45765054784512 is an frugal number, since it uses more digits than its factorization.

45765054784512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 188160000, while the sum is 63.

The spelling of 45765054784512 in words is "forty-five trillion, seven hundred sixty-five billion, fifty-four million, seven hundred eighty-four thousand, five hundred twelve".