88493829984 has 72 divisors (see below), whose sum is σ = 287604954000. Its totient is φ = 25283950848.

The previous prime is 88493829971. The next prime is 88493830039. The reversal of 88493829984 is 48992839488.

88493829984 is a `hidden beast` number, since 8 + 84 + 9 + 382 + 99 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21945859 + ... + 21949890.

It is an arithmetic number, because the mean of its divisors is an integer number (3994513250).

Almost surely, 2^88493829984 is an apocalyptic number.

88493829984 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

88493829984 is an abundant number, since it is smaller than the sum of its proper divisors (199111124016).

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

88493829984 is a wasteful number, since it uses less digits than its factorization.

88493829984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43895772 (or 43895761 counting only the distinct ones).

The product of its digits is 286654464, while the sum is 72.

The spelling of 88493829984 in words is "eighty-eight billion, four hundred ninety-three million, eight hundred twenty-nine thousand, nine hundred eighty-four".