8634157056 has 144 divisors (see below), whose sum is σ = 28499889600. Its totient is φ = 2466865152.

The previous prime is 8634157027. The next prime is 8634157069. The reversal of 8634157056 is 6507514368.

8634157056 is a `hidden beast` number, since 8 + 634 + 1 + 5 + 7 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95565 + ... + 162483.

It is an arithmetic number, because the mean of its divisors is an integer number (197915900).

Almost surely, 2^8634157056 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 8634157056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14249944800).

8634157056 is an abundant number, since it is smaller than the sum of its proper divisors (19865732544).

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

8634157056 is a wasteful number, since it uses less digits than its factorization.

8634157056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66954 (or 66931 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 8634157056 is about 92920.1649589582. The cubic root of 8634157056 is about 2051.5084718081.

The spelling of 8634157056 in words is "eight billion, six hundred thirty-four million, one hundred fifty-seven thousand, fifty-six".