86928339456 has 700 divisors, whose sum is σ = 306926919222. Its totient is φ = 24580620288.

The previous prime is 86928339431. The next prime is 86928339539. The reversal of 86928339456 is 65493382968.

86928339456 is a `hidden beast` number, since 86 + 92 + 83 + 394 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 75726233856 + 11202105600 = 275184^2 + 105840^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 86928339393 and 86928339402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 896168400 + ... + 896168496.

Almost surely, 2^86928339456 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 86928339456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153463459611).

86928339456 is an abundant number, since it is smaller than the sum of its proper divisors (219998579766).

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

86928339456 is an frugal number, since it uses more digits than its factorization.

86928339456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 109 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 63.

The spelling of 86928339456 in words is "eighty-six billion, nine hundred twenty-eight million, three hundred thirty-nine thousand, four hundred fifty-six".