12749258736 has 100 divisors (see below), whose sum is σ = 36935286784. Its totient is φ = 4245696000.

The previous prime is 12749258591. The next prime is 12749258759. The reversal of 12749258736 is 63785294721.

It is a happy number.

12749258736 is a `hidden beast` number, since 1 + 27 + 4 + 9 + 2 + 587 + 36 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1552401 + ... + 1560591.

Almost surely, 2^12749258736 is an apocalyptic number.

12749258736 is a gapful number since it is divisible by the number (16) 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 12749258736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18467643392).

12749258736 is an abundant number, since it is smaller than the sum of its proper divisors (24186028048).

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

12749258736 is a wasteful number, since it uses less digits than its factorization.

12749258736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9412 (or 9397 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 12749258736 in words is "twelve billion, seven hundred forty-nine million, two hundred fifty-eight thousand, seven hundred thirty-six".