86313538898064 has 135 divisors (see below), whose sum is σ = 242393647642419. Its totient is φ = 28671994169280.

The previous prime is 86313538898057. The next prime is 86313538898123. The reversal of 86313538898064 is 46089883531368.

It is a happy number.

The square root of 86313538898064 is 9290508.

It is a perfect power (a square), and thus also a powerful number.

86313538898064 is a `hidden beast` number, since 8 + 6 + 3 + 1 + 3 + 538 + 8 + 9 + 80 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 86313538897983 and 86313538898001.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 36901896607 + ... + 36901898945.

Almost surely, 2^{86313538898064} is an apocalyptic number.

86313538898064 is the 9290508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86313538898064

86313538898064 is an abundant number, since it is smaller than the sum of its proper divisors (156080108744355).

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

86313538898064 is an frugal number, since it uses more digits than its factorization.

86313538898064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5354 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 716636160, while the sum is 72.

The spelling of 86313538898064 in words is "eighty-six trillion, three hundred thirteen billion, five hundred thirty-eight million, eight hundred ninety-eight thousand, sixty-four".