86361456001 has 8 divisors (see below), whose sum is σ = 86617399680. Its totient is φ = 86105576832.

The previous prime is 86361455981. The next prime is 86361456007. The reversal of 86361456001 is 10065416368.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 86361456001 - 2¹⁵ = 86361423233 is a prime.

It is a super-2 number, since 2×86361456001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86361456007) 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 7 ways as a sum of consecutive naturals, for example, 4516980 + ... + 4536058.

It is an arithmetic number, because the mean of its divisors is an integer number (10827174960).

Almost surely, 2^86361456001 is an apocalyptic number.

It is an amenable number.

86361456001 is a deficient number, since it is larger than the sum of its proper divisors (255943679).

86361456001 is a wasteful number, since it uses less digits than its factorization.

86361456001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32255.

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 86361456001 in words is "eighty-six billion, three hundred sixty-one million, four hundred fifty-six thousand, one".