45048721536 has 960 divisors, whose sum is σ = 177280488000. Its totient is φ = 11224313856.

The previous prime is 45048721513. The next prime is 45048721547. The reversal of 45048721536 is 63512784054.

45048721536 is a `hidden beast` number, since 4 + 5 + 0 + 48 + 72 + 1 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 45048721491 and 45048721500.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 125483725 + ... + 125484083.

It is an arithmetic number, because the mean of its divisors is an integer number (184667175).

Almost surely, 2^45048721536 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 45048721536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88640244000).

45048721536 is an abundant number, since it is smaller than the sum of its proper divisors (132231766464).

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

45048721536 is a wasteful number, since it uses less digits than its factorization.

45048721536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 45048721536 in words is "forty-five billion, forty-eight million, seven hundred twenty-one thousand, five hundred thirty-six".