631046952253440 has 1344 divisors, whose sum is σ = 2287350770140800. Its totient is φ = 167011770433536.

The previous prime is 631046952253409. The next prime is 631046952253441. The reversal of 631046952253440 is 44352259640136.

631046952253440 is a `hidden beast` number, since 6 + 3 + 1 + 0 + 4 + 69 + 5 + 2 + 2 + 534 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (631046952253441) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1029440378574 + ... + 1029440379186.

It is an arithmetic number, because the mean of its divisors is an integer number (1701897894450).

Almost surely, 2^{631046952253440} is an apocalyptic number.

631046952253440 is a gapful number since it is divisible by the number (60) 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 631046952253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143675385070400).

631046952253440 is an abundant number, since it is smaller than the sum of its proper divisors (1656303817887360).

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

631046952253440 is an equidigital number, since it uses as much as digits as its factorization.

631046952253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 631046952253440 in words is "six hundred thirty-one trillion, forty-six billion, nine hundred fifty-two million, two hundred fifty-three thousand, four hundred forty".