13845795264 has 560 divisors, whose sum is σ = 49567795200. Its totient is φ = 3737954304.

The previous prime is 13845795259. The next prime is 13845795307. The reversal of 13845795264 is 46259754831.

It is a happy number.

13845795264 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 579 + 5 + 2 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 13845795264.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 62088657 + ... + 62088879.

It is an arithmetic number, because the mean of its divisors is an integer number (88513920).

Almost surely, 2^13845795264 is an apocalyptic number.

13845795264 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 13845795264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24783897600).

13845795264 is an abundant number, since it is smaller than the sum of its proper divisors (35721999936).

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

13845795264 is a wasteful number, since it uses less digits than its factorization.

13845795264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 323 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 13845795264 in words is "thirteen billion, eight hundred forty-five million, seven hundred ninety-five thousand, two hundred sixty-four".