631677141504 has 480 divisors, whose sum is σ = 2000421536256. Its totient is φ = 191026298880.

The previous prime is 631677141499. The next prime is 631677141551. The reversal of 631677141504 is 405141776136.

It is a happy number.

631677141504 is a `hidden beast` number, since 6 + 3 + 167 + 71 + 415 + 0 + 4 = 666.

It is a super-2 number, since 2×631677141504² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 631677141504.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1134069994 + ... + 1134070550.

Almost surely, 2^631677141504 is an apocalyptic number.

631677141504 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 631677141504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000210768128).

631677141504 is an abundant number, since it is smaller than the sum of its proper divisors (1368744394752).

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

631677141504 is a wasteful number, since it uses less digits than its factorization.

631677141504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 631677141504 in words is "six hundred thirty-one billion, six hundred seventy-seven million, one hundred forty-one thousand, five hundred four".