82467112900 has 18 divisors (see below), whose sum is σ = 178953635210. Its totient is φ = 32986845120.

The previous prime is 82467112841. The next prime is 82467112909. The reversal of 82467112900 is 921176428.

It can be written as a sum of positive squares in 3 ways, for example, as 889470976 + 81577641924 = 29824^2 + 285618^2 .

It is a super-2 number, since 2×82467112900² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82467112909) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 412335465 + ... + 412335664.

Almost surely, 2^82467112900 is an apocalyptic number.

It is an amenable number.

82467112900 is an abundant number, since it is smaller than the sum of its proper divisors (96486522310).

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

82467112900 is a wasteful number, since it uses less digits than its factorization.

82467112900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824671143 (or 824671136 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The spelling of 82467112900 in words is "eighty-two billion, four hundred sixty-seven million, one hundred twelve thousand, nine hundred".