631665136512 has 256 divisors, whose sum is σ = 1976270400000. Its totient is φ = 197936898048.

The previous prime is 631665136511. The next prime is 631665136523. The reversal of 631665136512 is 215631566136.

It is a happy number.

631665136512 is a `hidden beast` number, since 6 + 3 + 1 + 66 + 513 + 65 + 12 = 666.

It is a super-2 number, since 2×631665136512² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (631665136511) 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, 53987239 + ... + 53998937.

It is an arithmetic number, because the mean of its divisors is an integer number (7719806250).

Almost surely, 2^631665136512 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 631665136512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988135200000).

631665136512 is an abundant number, since it is smaller than the sum of its proper divisors (1344605263488).

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

631665136512 is a wasteful number, since it uses less digits than its factorization.

631665136512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12658 (or 12640 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The spelling of 631665136512 in words is "six hundred thirty-one billion, six hundred sixty-five million, one hundred thirty-six thousand, five hundred twelve".