8632141056 has 576 divisors, whose sum is σ = 32573184000. Its totient is φ = 2235340800.

The previous prime is 8632141039. The next prime is 8632141079. The reversal of 8632141056 is 6501412368.

It is a happy number.

8632141056 is a `hidden beast` number, since 8 + 632 + 1 + 4 + 10 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 8632141056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26078811 + ... + 26079141.

Almost surely, 2^8632141056 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 8632141056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16286592000).

8632141056 is an abundant number, since it is smaller than the sum of its proper divisors (23941042944).

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

8632141056 is a wasteful number, since it uses less digits than its factorization.

8632141056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 8632141056 is about 92909.3163035871. The cubic root of 8632141056 is about 2051.3487896300.

The spelling of 8632141056 in words is "eight billion, six hundred thirty-two million, one hundred forty-one thousand, fifty-six".