86338672224 has 96 divisors (see below), whose sum is σ = 260754681600. Its totient is φ = 24502605312.

The previous prime is 86338672219. The next prime is 86338672279. The reversal of 86338672224 is 42227683368.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 331014 + ... + 531269.

It is an arithmetic number, because the mean of its divisors is an integer number (2716194600).

Almost surely, 2^86338672224 is an apocalyptic number.

86338672224 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

86338672224 is an abundant number, since it is smaller than the sum of its proper divisors (174416009376).

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

86338672224 is a wasteful number, since it uses less digits than its factorization.

86338672224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862452 (or 862444 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 51.

The spelling of 86338672224 in words is "eighty-six billion, three hundred thirty-eight million, six hundred seventy-two thousand, two hundred twenty-four".