82357233275328 has 112 divisors (see below), whose sum is σ = 237750832055424. Its totient is φ = 24952757437440.

The previous prime is 82357233275293. The next prime is 82357233275353.

82357233275328 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10150851 + ... + 16363197.

Almost surely, 2^{82357233275328} is an apocalyptic number.

82357233275328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82357233275328 is an abundant number, since it is smaller than the sum of its proper divisors (155393598780096).

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

82357233275328 is a wasteful number, since it uses less digits than its factorization.

82357233275328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6218650 (or 6218640 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 60.

The spelling of 82357233275328 in words is "eighty-two trillion, three hundred fifty-seven billion, two hundred thirty-three million, two hundred seventy-five thousand, three hundred twenty-eight".