631985097888 has 288 divisors, whose sum is σ = 1834777526400. Its totient is φ = 206320435200.

The previous prime is 631985097883. The next prime is 631985097899. The reversal of 631985097888 is 888790589136.

631985097888 is a `hidden beast` number, since 6 + 31 + 9 + 8 + 509 + 7 + 8 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (631985097883) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1576022488 + ... + 1576022888.

It is an arithmetic number, because the mean of its divisors is an integer number (6370755300).

Almost surely, 2^631985097888 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 631985097888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917388763200).

631985097888 is an abundant number, since it is smaller than the sum of its proper divisors (1202792428512).

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

631985097888 is a wasteful number, since it uses less digits than its factorization.

631985097888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 72.

The spelling of 631985097888 in words is "six hundred thirty-one billion, nine hundred eighty-five million, ninety-seven thousand, eight hundred eighty-eight".