82173014784 has 360 divisors, whose sum is σ = 296509818528. Its totient is φ = 22096281600.

The previous prime is 82173014683. The next prime is 82173014813. The reversal of 82173014784 is 48741037128.

82173014784 is a `hidden beast` number, since 8 + 2 + 173 + 0 + 1 + 478 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2450934 + ... + 2484234.

Almost surely, 2^82173014784 is an apocalyptic number.

82173014784 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 82173014784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148254909264).

82173014784 is an abundant number, since it is smaller than the sum of its proper divisors (214336803744).

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

82173014784 is a wasteful number, since it uses less digits than its factorization.

82173014784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33353 (or 33330 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 82173014784 in words is "eighty-two billion, one hundred seventy-three million, fourteen thousand, seven hundred eighty-four".