81301600224 has 432 divisors, whose sum is σ = 273720021120. Its totient is φ = 22723706880.

The previous prime is 81301600217. The next prime is 81301600243. The reversal of 81301600224 is 42200610318.

81301600224 is a `hidden beast` number, since 8 + 1 + 30 + 1 + 600 + 2 + 24 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31377169 + ... + 31379759.

It is an arithmetic number, because the mean of its divisors is an integer number (633611160).

Almost surely, 2^81301600224 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 81301600224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136860010560).

81301600224 is an abundant number, since it is smaller than the sum of its proper divisors (192418420896).

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

81301600224 is a wasteful number, since it uses less digits than its factorization.

81301600224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2683 (or 2655 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 81301600224 in words is "eighty-one billion, three hundred one million, six hundred thousand, two hundred twenty-four".