86351007465 has 12 divisors (see below), whose sum is σ = 149675079684. Its totient is φ = 46053870624.

The previous prime is 86351007451. The next prime is 86351007503. The reversal of 86351007465 is 56470015368.

86351007465 is a `hidden beast` number, since 8 + 6 + 3 + 510 + 0 + 74 + 65 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 56669230809 + 29681776656 = 238053^2 + 172284^2 .

It is not a de Polignac number, because 86351007465 - 2⁶ = 86351007401 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 1918911277 = 86351007465 / (8 + 6 + 3 + 5 + 1 + 0 + 0 + 7 + 4 + 6 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 86351007465.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 959455594 + ... + 959455683.

It is an arithmetic number, because the mean of its divisors is an integer number (12472923307).

Almost surely, 2^86351007465 is an apocalyptic number.

It is an amenable number.

86351007465 is a deficient number, since it is larger than the sum of its proper divisors (63324072219).

86351007465 is a wasteful number, since it uses less digits than its factorization.

86351007465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918911288 (or 1918911285 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 86351007465 in words is "eighty-six billion, three hundred fifty-one million, seven thousand, four hundred sixty-five".