82314319500 has 768 divisors, whose sum is σ = 318823464960. Its totient is φ = 17944416000.

The previous prime is 82314319429. The next prime is 82314319531. The reversal of 82314319500 is 591341328.

82314319500 is a `hidden beast` number, since 8 + 2 + 3 + 143 + 1 + 9 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 190984285 + ... + 190984715.

It is an arithmetic number, because the mean of its divisors is an integer number (415134720).

Almost surely, 2^82314319500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82314319500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159411732480).

82314319500 is an abundant number, since it is smaller than the sum of its proper divisors (236509145460).

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

82314319500 is a wasteful number, since it uses less digits than its factorization.

82314319500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 82314319500 in words is "eighty-two billion, three hundred fourteen million, three hundred nineteen thousand, five hundred".