634613953652172 has 288 divisors, whose sum is σ = 1791859821111360. Its totient is φ = 194141827676160.

The previous prime is 634613953652089. The next prime is 634613953652179. The reversal of 634613953652172 is 271256359316436.

634613953652172 is a `hidden beast` number, since 6 + 3 + 4 + 6 + 1 + 3 + 9 + 5 + 36 + 521 + 72 = 666.

It is a super-2 number, since 2×634613953652172² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (634613953652179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5325089178 + ... + 5325208350.

It is an arithmetic number, because the mean of its divisors is an integer number (6221735489970).

Almost surely, 2^{634613953652172} 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 634613953652172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895929910555680).

634613953652172 is an abundant number, since it is smaller than the sum of its proper divisors (1157245867459188).

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

634613953652172 is a wasteful number, since it uses less digits than its factorization.

634613953652172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120890 (or 120869 counting only the distinct ones).

The product of its digits is 146966400, while the sum is 63.

The spelling of 634613953652172 in words is "six hundred thirty-four trillion, six hundred thirteen billion, nine hundred fifty-three million, six hundred fifty-two thousand, one hundred seventy-two".