82946749200 has 360 divisors, whose sum is σ = 322530481728. Its totient is φ = 18134645760.

The previous prime is 82946749157. The next prime is 82946749211. The reversal of 82946749200 is 294764928.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1321734 + ... + 1383066.

Almost surely, 2^82946749200 is an apocalyptic number.

82946749200 is a gapful number since it is divisible by the number (80) 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 82946749200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161265240864).

82946749200 is an abundant number, since it is smaller than the sum of its proper divisors (239583732528).

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

82946749200 is a wasteful number, since it uses less digits than its factorization.

82946749200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61391 (or 61373 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 82946749200 in words is "eighty-two billion, nine hundred forty-six million, seven hundred forty-nine thousand, two hundred".