12544794864 has 160 divisors (see below), whose sum is σ = 41415920640. Its totient is φ = 3561262848.

The previous prime is 12544794817. The next prime is 12544794901. The reversal of 12544794864 is 46849744521.

12544794864 is a `hidden beast` number, since 1 + 2 + 544 + 7 + 94 + 8 + 6 + 4 = 666.

It is a super-3 number, since 3×12544794864³ (a number of 31 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 12544794864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 461557 + ... + 487979.

It is an arithmetic number, because the mean of its divisors is an integer number (258849504).

Almost surely, 2^12544794864 is an apocalyptic number.

12544794864 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 12544794864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20707960320).

12544794864 is an abundant number, since it is smaller than the sum of its proper divisors (28871125776).

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

12544794864 is a wasteful number, since it uses less digits than its factorization.

12544794864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26604 (or 26592 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 12544794864 in words is "twelve billion, five hundred forty-four million, seven hundred ninety-four thousand, eight hundred sixty-four".