12781814469975 has 96 divisors (see below), whose sum is σ = 23669765038080. Its totient is φ = 6762087360000.

The previous prime is 12781814469901. The next prime is 12781814470013. The reversal of 12781814469975 is 57996441818721.

12781814469975 is a `hidden beast` number, since 1 + 2 + 7 + 81 + 8 + 14 + 469 + 9 + 75 = 666.

It is not a de Polignac number, because 12781814469975 - 2²³ = 12781806081367 is a prime.

It is a super-2 number, since 2×12781814469975² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 692734500 + ... + 692752950.

It is an arithmetic number, because the mean of its divisors is an integer number (246560052480).

Almost surely, 2^{12781814469975} is an apocalyptic number.

12781814469975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12781814469975 is a deficient number, since it is larger than the sum of its proper divisors (10887950568105).

12781814469975 is a wasteful number, since it uses less digits than its factorization.

12781814469975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26678 (or 26667 counting only the distinct ones).

The product of its digits is 243855360, while the sum is 72.

The spelling of 12781814469975 in words is "twelve trillion, seven hundred eighty-one billion, eight hundred fourteen million, four hundred sixty-nine thousand, nine hundred seventy-five".