12690918925767 has 24 divisors (see below), whose sum is σ = 19139600688000. Its totient is φ = 8087996421648.

The previous prime is 12690918925759. The next prime is 12690918925771. The reversal of 12690918925767 is 76752981909621.

12690918925767 is a `hidden beast` number, since 126 + 90 + 91 + 89 + 257 + 6 + 7 = 666.

It is not a de Polignac number, because 12690918925767 - 2³ = 12690918925759 is a prime.

It is a super-2 number, since 2×12690918925767² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12690918925695 and 12690918925704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12690918925757) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17690917 + ... + 18394302.

It is an arithmetic number, because the mean of its divisors is an integer number (797483362000).

Almost surely, 2^{12690918925767} is an apocalyptic number.

12690918925767 is a deficient number, since it is larger than the sum of its proper divisors (6448681762233).

12690918925767 is a wasteful number, since it uses less digits than its factorization.

12690918925767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36086947 (or 36086944 counting only the distinct ones).

The product of its (nonzero) digits is 205752960, while the sum is 72.

The spelling of 12690918925767 in words is "twelve trillion, six hundred ninety billion, nine hundred eighteen million, nine hundred twenty-five thousand, seven hundred sixty-seven".