631141164 has 72 divisors (see below), whose sum is σ = 1688494080. Its totient is φ = 198223200.

The previous prime is 631141157. The next prime is 631141169. The reversal of 631141164 is 461141136.

631141164 is a `hidden beast` number, since 631 + 14 + 1 + 16 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (631141169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128229 + ... + 133059.

Almost surely, 2^631141164 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 631141164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844247040).

631141164 is an abundant number, since it is smaller than the sum of its proper divisors (1057352916).

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

631141164 is a wasteful number, since it uses less digits than its factorization.

631141164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5051 (or 5046 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 631141164 is about 25122.5230420832. The cubic root of 631141164 is about 857.7791825833.

The spelling of 631141164 in words is "six hundred thirty-one million, one hundred forty-one thousand, one hundred sixty-four".