10631466350640 has 360 divisors, whose sum is σ = 38834682747120. Its totient is φ = 2599200783360.

The previous prime is 10631466350611. The next prime is 10631466350641. The reversal of 10631466350640 is 4605366413601.

10631466350640 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 1 + 4 + 6 + 635 + 0 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×10631466350640² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10631466350641) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12742134 + ... + 13550826.

It is an arithmetic number, because the mean of its divisors is an integer number (107874118742).

Almost surely, 2^{10631466350640} is an apocalyptic number.

10631466350640 is a gapful number since it is divisible by the number (10) 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 10631466350640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19417341373560).

10631466350640 is an abundant number, since it is smaller than the sum of its proper divisors (28203216396480).

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

10631466350640 is a wasteful number, since it uses less digits than its factorization.

10631466350640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808793 (or 808753 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 10631466350640 in words is "ten trillion, six hundred thirty-one billion, four hundred sixty-six million, three hundred fifty thousand, six hundred forty".