83886695424 has 297 divisors, whose sum is σ = 282422569611. Its totient is φ = 23912017920.

The previous prime is 83886695413. The next prime is 83886695437. The reversal of 83886695424 is 42459668838.

The square root of 83886695424 is 289632.

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

83886695424 is a `hidden beast` number, since 8 + 3 + 8 + 86 + 6 + 9 + 542 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 194632489 + ... + 194632919.

Almost surely, 2^83886695424 is an apocalyptic number.

83886695424 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

83886695424 is the 289632-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83886695424

83886695424 is an abundant number, since it is smaller than the sum of its proper divisors (198535874187).

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

83886695424 is an equidigital number, since it uses as much as digits as its factorization.

83886695424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 443 counting only the distinct ones).

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

The spelling of 83886695424 in words is "eighty-three billion, eight hundred eighty-six million, six hundred ninety-five thousand, four hundred twenty-four".