10170391412664 has 768 divisors, whose sum is σ = 35519212800000. Its totient is φ = 2632100106240.

The previous prime is 10170391412567. The next prime is 10170391412689. The reversal of 10170391412664 is 46621419307101.

10170391412664 is a `hidden beast` number, since 1 + 0 + 170 + 3 + 9 + 1 + 412 + 6 + 64 = 666.

It is a super-2 number, since 2×10170391412664² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4915606222 + ... + 4915608290.

It is an arithmetic number, because the mean of its divisors is an integer number (46248975000).

Almost surely, 2^{10170391412664} is an apocalyptic number.

10170391412664 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 10170391412664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17759606400000).

10170391412664 is an abundant number, since it is smaller than the sum of its proper divisors (25348821387336).

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

10170391412664 is a wasteful number, since it uses less digits than its factorization.

10170391412664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10170391412664 in words is "ten trillion, one hundred seventy billion, three hundred ninety-one million, four hundred twelve thousand, six hundred sixty-four".