81846272000 has 272 divisors, whose sum is σ = 208396598592. Its totient is φ = 32086425600.

The previous prime is 81846271981. The next prime is 81846272003. The reversal of 81846272000 is 27264818.

It is not an unprimeable number, because it can be changed into a prime (81846272003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 794623949 + ... + 794624051.

Almost surely, 2^81846272000 is an apocalyptic number.

81846272000 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 81846272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104198299296).

81846272000 is an abundant number, since it is smaller than the sum of its proper divisors (126550326592).

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

81846272000 is an frugal number, since it uses more digits than its factorization.

81846272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The spelling of 81846272000 in words is "eighty-one billion, eight hundred forty-six million, two hundred seventy-two thousand".