8151395648769 has 16 divisors (see below), whose sum is σ = 12076270827840. Its totient is φ = 5434205659200.

The previous prime is 8151395648729. The next prime is 8151395648777. The reversal of 8151395648769 is 9678465931518.

8151395648769 is a `hidden beast` number, since 8 + 1 + 5 + 1 + 39 + 56 + 487 + 69 = 666.

It is not a de Polignac number, because 8151395648769 - 2³³ = 8142805714177 is a prime.

It is a super-3 number, since 3×8151395648769³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 8151395648697 and 8151395648706.

It is not an unprimeable number, because it can be changed into a prime (8151395648719) 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 15 ways as a sum of consecutive naturals, for example, 1036954 + ... + 4168700.

It is an arithmetic number, because the mean of its divisors is an integer number (754766926740).

Almost surely, 2^{8151395648769} is an apocalyptic number.

It is an amenable number.

8151395648769 is a deficient number, since it is larger than the sum of its proper divisors (3924875179071).

8151395648769 is a wasteful number, since it uses less digits than its factorization.

8151395648769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3228157 (or 3228151 counting only the distinct ones).

The product of its digits is 391910400, while the sum is 72.

The spelling of 8151395648769 in words is "eight trillion, one hundred fifty-one billion, three hundred ninety-five million, six hundred forty-eight thousand, seven hundred sixty-nine".