45029600064 has 126 divisors (see below), whose sum is σ = 133368688050. Its totient is φ = 14525498880.

The previous prime is 45029600027. The next prime is 45029600087. The reversal of 45029600064 is 46000692054.

45029600064 is a `hidden beast` number, since 4 + 502 + 96 + 0 + 0 + 0 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24410937600 + 20618662464 = 156240^2 + 143592^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 512862 + ... + 594210.

Almost surely, 2^45029600064 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 45029600064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66684344025).

45029600064 is an abundant number, since it is smaller than the sum of its proper divisors (88339087986).

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

45029600064 is a wasteful number, since it uses less digits than its factorization.

45029600064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81429 (or 81385 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 45029600064 in words is "forty-five billion, twenty-nine million, six hundred thousand, sixty-four".