631584485136 has 160 divisors (see below), whose sum is σ = 1978619312640. Its totient is φ = 191299190400.

The previous prime is 631584485101. The next prime is 631584485171.

It is a happy number.

631584485136 is a `hidden beast` number, since 6 + 3 + 1 + 5 + 84 + 48 + 513 + 6 = 666.

631584485136 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (631584485101) and next prime (631584485171).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10438491 + ... + 10498821.

It is an arithmetic number, because the mean of its divisors is an integer number (12366370704).

Almost surely, 2^631584485136 is an apocalyptic number.

631584485136 is a gapful number since it is divisible by the number (66) 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 631584485136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989309656320).

631584485136 is an abundant number, since it is smaller than the sum of its proper divisors (1347034827504).

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

631584485136 is a wasteful number, since it uses less digits than its factorization.

631584485136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62562 (or 62550 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 631584485136 in words is "six hundred thirty-one billion, five hundred eighty-four million, four hundred eighty-five thousand, one hundred thirty-six".