45129291264 has 480 divisors, whose sum is σ = 150676606080. Its totient is φ = 13401096192.

The previous prime is 45129291257. The next prime is 45129291271. The reversal of 45129291264 is 46219292154.

45129291264 is a `hidden beast` number, since 4 + 512 + 9 + 2 + 9 + 126 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (45129291257) and next prime (45129291271).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 40185807 + ... + 40186929.

It is an arithmetic number, because the mean of its divisors is an integer number (313909596).

Almost surely, 2^45129291264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45129291264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75338303040).

45129291264 is an abundant number, since it is smaller than the sum of its proper divisors (105547314816).

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

45129291264 is a wasteful number, since it uses less digits than its factorization.

45129291264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1164 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 45129291264 in words is "forty-five billion, one hundred twenty-nine million, two hundred ninety-one thousand, two hundred sixty-four".