768147216561 has 12 divisors (see below), whose sum is σ = 1114433850192. Its totient is φ = 509842204056.

The previous prime is 768147216559. The next prime is 768147216563. The reversal of 768147216561 is 165612741867.

768147216561 is a `hidden beast` number, since 7 + 6 + 8 + 1 + 4 + 72 + 1 + 6 + 561 = 666.

It is an interprime number because it is at equal distance from previous prime (768147216559) and next prime (768147216563).

It is not a de Polignac number, because 768147216561 - 2¹ = 768147216559 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 768147216498 and 768147216507.

It is not an unprimeable number, because it can be changed into a prime (768147216563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187992871 + ... + 187996956.

It is an arithmetic number, because the mean of its divisors is an integer number (92869487516).

Almost surely, 2^768147216561 is an apocalyptic number.

It is an amenable number.

768147216561 is a deficient number, since it is larger than the sum of its proper divisors (346286633631).

768147216561 is a wasteful number, since it uses less digits than its factorization.

768147216561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375990060 (or 375990057 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 768147216561 in words is "seven hundred sixty-eight billion, one hundred forty-seven million, two hundred sixteen thousand, five hundred sixty-one".