86319322454112 has 768 divisors, whose sum is σ = 266720506601472. Its totient is φ = 24181533573120.

The previous prime is 86319322454093. The next prime is 86319322454149. The reversal of 86319322454112 is 21145422391368.

It is a super-2 number, since 2×86319322454112² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43750289158 + ... + 43750291130.

It is an arithmetic number, because the mean of its divisors is an integer number (347292326304).

Almost surely, 2^{86319322454112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86319322454112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133360253300736).

86319322454112 is an abundant number, since it is smaller than the sum of its proper divisors (180401184147360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86319322454112 is a wasteful number, since it uses less digits than its factorization.

86319322454112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2483 (or 2475 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 51.

The spelling of 86319322454112 in words is "eighty-six trillion, three hundred nineteen billion, three hundred twenty-two million, four hundred fifty-four thousand, one hundred twelve".