634031020130436 has 18 divisors (see below), whose sum is σ = 1602689523107582. Its totient is φ = 211343673376800.

The previous prime is 634031020130393. The next prime is 634031020130509.

634031020130436 is a `hidden beast` number, since 6 + 3 + 4 + 0 + 3 + 10 + 201 + 3 + 0 + 436 = 666.

634031020130436 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 552442434760836 + 81588585369600 = 23504094^2 + 9032640^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 17611972781401 = 634031020130436 / (6 + 3 + 4 + 0 + 3 + 1 + 0 + 2 + 0 + 1 + 3 + 0 + 4 + 3 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 634031020130436.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8805986390665 + ... + 8805986390736.

Almost surely, 2^{634031020130436} is an apocalyptic number.

It is an amenable number.

634031020130436 is an abundant number, since it is smaller than the sum of its proper divisors (968658502977146).

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

634031020130436 is a wasteful number, since it uses less digits than its factorization.

634031020130436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17611972781411 (or 17611972781406 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 634031020130436 in words is "six hundred thirty-four trillion, thirty-one billion, twenty million, one hundred thirty thousand, four hundred thirty-six".