86614726464 has 224 divisors, whose sum is σ = 298106592000. Its totient is φ = 24143339520.

The previous prime is 86614726439. The next prime is 86614726469. The reversal of 86614726464 is 46462741668.

It is a happy number.

86614726464 is a `hidden beast` number, since 86 + 61 + 47 + 2 + 6 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×86614726464² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 86614726464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86614726469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 408612 + ... + 583260.

It is an arithmetic number, because the mean of its divisors is an integer number (1330833000).

Almost surely, 2^86614726464 is an apocalyptic number.

86614726464 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86614726464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149053296000).

86614726464 is an abundant number, since it is smaller than the sum of its proper divisors (211491865536).

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

86614726464 is a wasteful number, since it uses less digits than its factorization.

86614726464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174718 (or 174702 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 86614726464 in words is "eighty-six billion, six hundred fourteen million, seven hundred twenty-six thousand, four hundred sixty-four".