12767514045 has 192 divisors, whose sum is σ = 25611586560. Its totient is φ = 5386106880.

The previous prime is 12767514043. The next prime is 12767514047. The reversal of 12767514045 is 54041576721.

It is an interprime number because it is at equal distance from previous prime (12767514043) and next prime (12767514047).

It is not a de Polignac number, because 12767514045 - 2¹ = 12767514043 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12767513988 and 12767514006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12767514043) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32159787 + ... + 32160183.

It is an arithmetic number, because the mean of its divisors is an integer number (133393680).

Almost surely, 2^12767514045 is an apocalyptic number.

12767514045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12767514045 is an abundant number, since it is smaller than the sum of its proper divisors (12844072515).

12767514045 is a wasteful number, since it uses less digits than its factorization.

12767514045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The spelling of 12767514045 in words is "twelve billion, seven hundred sixty-seven million, five hundred fourteen thousand, forty-five".