8457385536 has 336 divisors, whose sum is σ = 26286165360. Its totient is φ = 2594242560.

The previous prime is 8457385501. The next prime is 8457385579. The reversal of 8457385536 is 6355837548.

8457385536 is a `hidden beast` number, since 8 + 4 + 57 + 38 + 553 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 808833600 + 7648551936 = 28440^2 + 87456^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36297676 + ... + 36297908.

It is an arithmetic number, because the mean of its divisors is an integer number (78232635).

Almost surely, 2^8457385536 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 8457385536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13143082680).

8457385536 is an abundant number, since it is smaller than the sum of its proper divisors (17828779824).

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

8457385536 is a wasteful number, since it uses less digits than its factorization.

8457385536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 361 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 54.

The square root of 8457385536 is about 91964.0448001283. The cubic root of 8457385536 is about 2037.4112954018.

The spelling of 8457385536 in words is "eight billion, four hundred fifty-seven million, three hundred eighty-five thousand, five hundred thirty-six".