45204735576 has 384 divisors, whose sum is σ = 156050496000. Its totient is φ = 10835193600.

The previous prime is 45204735559. The next prime is 45204735599. The reversal of 45204735576 is 67553740254.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12947191 + ... + 12950681.

It is an arithmetic number, because the mean of its divisors is an integer number (406381500).

Almost surely, 2^45204735576 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 45204735576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78025248000).

45204735576 is an abundant number, since it is smaller than the sum of its proper divisors (110845760424).

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

45204735576 is a wasteful number, since it uses less digits than its factorization.

45204735576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3556 (or 3527 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 48.

The spelling of 45204735576 in words is "forty-five billion, two hundred four million, seven hundred thirty-five thousand, five hundred seventy-six".