10631075986944 has 640 divisors, whose sum is σ = 37345359744000. Its totient is φ = 2921600876544.

The previous prime is 10631075986943. The next prime is 10631075986967. The reversal of 10631075986944 is 44968957013601.

10631075986944 is a `hidden beast` number, since 1 + 0 + 6 + 31 + 0 + 7 + 598 + 6 + 9 + 4 + 4 = 666.

It is a super-2 number, since 2×10631075986944² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10631075986943) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 754880127 + ... + 754894209.

It is an arithmetic number, because the mean of its divisors is an integer number (58352124600).

Almost surely, 2^{10631075986944} is an apocalyptic number.

10631075986944 is a gapful number since it is divisible by the number (14) 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 10631075986944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18672679872000).

10631075986944 is an abundant number, since it is smaller than the sum of its proper divisors (26714283757056).

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

10631075986944 is a wasteful number, since it uses less digits than its factorization.

10631075986944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14415 (or 14393 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 10631075986944 in words is "ten trillion, six hundred thirty-one billion, seventy-five million, nine hundred eighty-six thousand, nine hundred forty-four".