45965796516864 has 2079 divisors, whose sum is σ = 172053599450787. Its totient is φ = 12230990585856.

The previous prime is 45965796516821. The next prime is 45965796516869. The reversal of 45965796516864 is 46861569756954.

The square root of 45965796516864 is 6779808.

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

45965796516864 is a `hidden beast` number, since 4 + 5 + 9 + 6 + 5 + 7 + 96 + 516 + 8 + 6 + 4 = 666.

It is a super-2 number, since 2×45965796516864² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

Its product of digits (11757312000) is a multiple of the sum of its prime divisors (90).

It is not an unprimeable number, because it can be changed into a prime (45965796516869) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 779081296867 + ... + 779081296925.

Almost surely, 2^{45965796516864} is an apocalyptic number.

45965796516864 is the 6779808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45965796516864

45965796516864 is an abundant number, since it is smaller than the sum of its proper divisors (126087802933923).

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

45965796516864 is an frugal number, since it uses more digits than its factorization.

45965796516864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 90 counting only the distinct ones).

The product of its digits is 11757312000, while the sum is 81.

45965796516864 divided by its sum of digits (81) gives a square (567478969344 = 753312²).

The spelling of 45965796516864 in words is "forty-five trillion, nine hundred sixty-five billion, seven hundred ninety-six million, five hundred sixteen thousand, eight hundred sixty-four".