13185408264 has 256 divisors, whose sum is σ = 41119488000. Its totient is φ = 3439687680.

The previous prime is 13185408251. The next prime is 13185408307. The reversal of 13185408264 is 46280458131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9980724 + ... + 9982044.

It is an arithmetic number, because the mean of its divisors is an integer number (160623000).

Almost surely, 2^13185408264 is an apocalyptic number.

13185408264 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 13185408264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20559744000).

13185408264 is an abundant number, since it is smaller than the sum of its proper divisors (27934079736).

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

13185408264 is a wasteful number, since it uses less digits than its factorization.

13185408264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 13185408264 in words is "thirteen billion, one hundred eighty-five million, four hundred eight thousand, two hundred sixty-four".