82146472200 has 648 divisors, whose sum is σ = 309774562110. Its totient is φ = 19498752000.

The previous prime is 82146472193. The next prime is 82146472211. The reversal of 82146472200 is 227464128.

82146472200 is a `hidden beast` number, since 8 + 2 + 1 + 4 + 647 + 2 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 205119684 + 81941352516 = 14322^2 + 286254^2 .

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 161 ways as a sum of consecutive naturals, for example, 292336060 + ... + 292336340.

Almost surely, 2^82146472200 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 82146472200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154887281055).

82146472200 is an abundant number, since it is smaller than the sum of its proper divisors (227628089910).

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

82146472200 is a wasteful number, since it uses less digits than its factorization.

82146472200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 82146472200 in words is "eighty-two billion, one hundred forty-six million, four hundred seventy-two thousand, two hundred".