82988934084 has 189 divisors, whose sum is σ = 257584039167. Its totient is φ = 22463170128.

The previous prime is 82988934071. The next prime is 82988934101. The reversal of 82988934084 is 48043988928.

The square root of 82988934084 is 288078.

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

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 62 ways as a sum of consecutive naturals, for example, 4367838627 + ... + 4367838645.

Almost surely, 2^82988934084 is an apocalyptic number.

82988934084 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

82988934084 is the 288078-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82988934084

82988934084 is an abundant number, since it is smaller than the sum of its proper divisors (174595105083).

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

82988934084 is an frugal number, since it uses more digits than its factorization.

82988934084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 82988934084 in words is "eighty-two billion, nine hundred eighty-eight million, nine hundred thirty-four thousand, eighty-four".