45204423264 has 576 divisors, whose sum is σ = 178583408640. Its totient is φ = 10462556160.

The previous prime is 45204423241. The next prime is 45204423281. The reversal of 45204423264 is 46232440254.

45204423264 is a `hidden beast` number, since 4 + 5 + 204 + 423 + 26 + 4 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8357649 + ... + 8363055.

It is an arithmetic number, because the mean of its divisors is an integer number (310040640).

Almost surely, 2^45204423264 is an apocalyptic number.

45204423264 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 45204423264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89291704320).

45204423264 is an abundant number, since it is smaller than the sum of its proper divisors (133378985376).

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

45204423264 is a wasteful number, since it uses less digits than its factorization.

45204423264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5483 (or 5472 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The spelling of 45204423264 in words is "forty-five billion, two hundred four million, four hundred twenty-three thousand, two hundred sixty-four".