86623430751 has 120 divisors (see below), whose sum is σ = 153276680304. Its totient is φ = 48328151040.

The previous prime is 86623430731. The next prime is 86623430771. The reversal of 86623430751 is 15703432668.

86623430751 is a `hidden beast` number, since 8 + 66 + 234 + 307 + 51 = 666.

It is an interprime number because it is at equal distance from previous prime (86623430731) and next prime (86623430771).

It is not a de Polignac number, because 86623430751 - 2⁹ = 86623430239 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 86623430697 and 86623430706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86623430731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 86883585 + ... + 86884581.

Almost surely, 2^86623430751 is an apocalyptic number.

86623430751 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

86623430751 is a deficient number, since it is larger than the sum of its proper divisors (66653249553).

86623430751 is a wasteful number, since it uses less digits than its factorization.

86623430751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 86623430751 in words is "eighty-six billion, six hundred twenty-three million, four hundred thirty thousand, seven hundred fifty-one".