45992225664 has 768 divisors, whose sum is σ = 179869248000. Its totient is φ = 10915430400.

The previous prime is 45992225659. The next prime is 45992225687. The reversal of 45992225664 is 46652229954.

45992225664 is a `hidden beast` number, since 4 + 59 + 9 + 2 + 22 + 566 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 45992225664.

It is a congruent 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 95 ways as a sum of consecutive naturals, for example, 48875434 + ... + 48876374.

It is an arithmetic number, because the mean of its divisors is an integer number (234204750).

Almost surely, 2^45992225664 is an apocalyptic number.

45992225664 is a gapful number since it is divisible by the number (44) 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 45992225664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89934624000).

45992225664 is an abundant number, since it is smaller than the sum of its proper divisors (133877022336).

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

45992225664 is a wasteful number, since it uses less digits than its factorization.

45992225664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1012 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 45992225664 in words is "forty-five billion, nine hundred ninety-two million, two hundred twenty-five thousand, six hundred sixty-four".