8634633057261 has 32 divisors (see below), whose sum is σ = 13126136371200. Its totient is φ = 5607243638640.

The previous prime is 8634633057241. The next prime is 8634633057263. The reversal of 8634633057261 is 1627503364368.

8634633057261 is a `hidden beast` number, since 8 + 6 + 3 + 4 + 6 + 3 + 3 + 0 + 572 + 61 = 666.

It is not a de Polignac number, because 8634633057261 - 2¹⁰ = 8634633056237 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8634633057198 and 8634633057207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8634633057263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15856131 + ... + 16391648.

It is an arithmetic number, because the mean of its divisors is an integer number (410191761600).

Almost surely, 2^{8634633057261} is an apocalyptic number.

It is an amenable number.

8634633057261 is a deficient number, since it is larger than the sum of its proper divisors (4491503313939).

8634633057261 is a wasteful number, since it uses less digits than its factorization.

8634633057261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32248046 (or 32248040 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 8634633057261 in words is "eight trillion, six hundred thirty-four billion, six hundred thirty-three million, fifty-seven thousand, two hundred sixty-one".