81844270939200 has 336 divisors, whose sum is σ = 334774957031424. Its totient is φ = 17006601676800.

The previous prime is 81844270939169. The next prime is 81844270939219. The reversal of 81844270939200 is 293907244818.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110350464 + ... + 111089663.

It is an arithmetic number, because the mean of its divisors is an integer number (996354038784).

Almost surely, 2^{81844270939200} is an apocalyptic number.

81844270939200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

81844270939200 is an abundant number, since it is smaller than the sum of its proper divisors (252930686092224).

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

81844270939200 is a wasteful number, since it uses less digits than its factorization.

81844270939200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221440170 (or 221440155 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 81844270939200 in words is "eighty-one trillion, eight hundred forty-four billion, two hundred seventy million, nine hundred thirty-nine thousand, two hundred".