86238544896 has 891 divisors, whose sum is σ = 319584831111. Its totient is φ = 22327861248.

The previous prime is 86238544891. The next prime is 86238544933. The reversal of 86238544896 is 69844583268.

The square root of 86238544896 is 293664.

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

86238544896 is a `hidden beast` number, since 8 + 6 + 2 + 3 + 8 + 544 + 89 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (79626240) is a multiple of the sum of its prime divisors (54).

It is not an unprimeable number, because it can be changed into a prime (86238544891) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3749501941 + ... + 3749501963.

Almost surely, 2^86238544896 is an apocalyptic number.

86238544896 is the 293664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86238544896

86238544896 is an abundant number, since it is smaller than the sum of its proper divisors (233346286215).

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

86238544896 is a wasteful number, since it uses less digits than its factorization.

86238544896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 54 counting only the distinct ones).

The product of its digits is 79626240, while the sum is 63.

The spelling of 86238544896 in words is "eighty-six billion, two hundred thirty-eight million, five hundred forty-four thousand, eight hundred ninety-six".