12749034816 has 126 divisors (see below), whose sum is σ = 42509072970. Its totient is φ = 3642573312.

The previous prime is 12749034787. The next prime is 12749034817. The reversal of 12749034816 is 61843094721.

12749034816 is a `hidden beast` number, since 12 + 74 + 90 + 3 + 481 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12669753600 + 79281216 = 112560^2 + 8904^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12749034817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 197631 + ... + 254078.

It is an arithmetic number, because the mean of its divisors is an integer number (337373595).

Almost surely, 2^12749034816 is an apocalyptic number.

12749034816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12749034816 is an abundant number, since it is smaller than the sum of its proper divisors (29760038154).

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

12749034816 is a wasteful number, since it uses less digits than its factorization.

12749034816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451741 (or 451721 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 12749034816 in words is "twelve billion, seven hundred forty-nine million, thirty-four thousand, eight hundred sixteen".