10664631634329 has 64 divisors (see below), whose sum is σ = 16082005524480. Its totient is φ = 6983633543040.

The previous prime is 10664631634313. The next prime is 10664631634339. The reversal of 10664631634329 is 92343613646601.

10664631634329 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 46 + 3 + 163 + 432 + 9 = 666.

It is not a de Polignac number, because 10664631634329 - 2⁴ = 10664631634313 is a prime.

It is a super-2 number, since 2×10664631634329² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10664631634309) 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, 983181784 + ... + 983192630.

It is an arithmetic number, because the mean of its divisors is an integer number (251281336320).

Almost surely, 2^{10664631634329} is an apocalyptic number.

It is an amenable number.

10664631634329 is a deficient number, since it is larger than the sum of its proper divisors (5417373890151).

10664631634329 is a wasteful number, since it uses less digits than its factorization.

10664631634329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13427 (or 13421 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 54.

The spelling of 10664631634329 in words is "ten trillion, six hundred sixty-four billion, six hundred thirty-one million, six hundred thirty-four thousand, three hundred twenty-nine".