4657715136 has 224 divisors, whose sum is σ = 14036405760. Its totient is φ = 1533116160.

The previous prime is 4657715129. The next prime is 4657715171. The reversal of 4657715136 is 6315177564.

4657715136 is a `hidden beast` number, since 4 + 65 + 7 + 71 + 513 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4657715091 and 4657715100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14976421 + ... + 14976731.

Almost surely, 2^4657715136 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 4657715136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7018202880).

4657715136 is an abundant number, since it is smaller than the sum of its proper divisors (9378690624).

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

4657715136 is an equidigital number, since it uses as much as digits as its factorization.

4657715136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 423 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 4657715136 is about 68247.4551613465. The cubic root of 4657715136 is about 1670.0301351130.

The spelling of 4657715136 in words is "four billion, six hundred fifty-seven million, seven hundred fifteen thousand, one hundred thirty-six".