13172912064 has 280 divisors, whose sum is σ = 42778039920. Its totient is φ = 3983302656.

The previous prime is 13172912047. The next prime is 13172912101. The reversal of 13172912064 is 46021927131.

It is a super-2 number, since 2×13172912064² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3974472 + ... + 3977784.

It is an arithmetic number, because the mean of its divisors is an integer number (152778714).

Almost surely, 2^13172912064 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 13172912064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21389019960).

13172912064 is an abundant number, since it is smaller than the sum of its proper divisors (29605127856).

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

13172912064 is a wasteful number, since it uses less digits than its factorization.

13172912064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3409 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 13172912064 in words is "thirteen billion, one hundred seventy-two million, nine hundred twelve thousand, sixty-four".