81162230688 has 960 divisors, whose sum is σ = 331948108800. Its totient is φ = 18781839360.

The previous prime is 81162230647. The next prime is 81162230701. The reversal of 81162230688 is 88603226118.

81162230688 is a `hidden beast` number, since 8 + 11 + 622 + 3 + 0 + 6 + 8 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 64465003 + ... + 64466261.

It is an arithmetic number, because the mean of its divisors is an integer number (345779280).

Almost surely, 2^81162230688 is an apocalyptic number.

81162230688 is a gapful number since it is divisible by the number (88) 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 81162230688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165974054400).

81162230688 is an abundant number, since it is smaller than the sum of its proper divisors (250785878112).

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

81162230688 is a wasteful number, since it uses less digits than its factorization.

81162230688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 81162230688 in words is "eighty-one billion, one hundred sixty-two million, two hundred thirty thousand, six hundred eighty-eight".