81930032226 has 192 divisors, whose sum is σ = 218011046400. Its totient is φ = 22730978592.

The previous prime is 81930032213. The next prime is 81930032243. The reversal of 81930032226 is 62223003918.

81930032226 is a `hidden beast` number, since 8 + 1 + 9 + 300 + 322 + 26 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12954301 + ... + 12960623.

It is an arithmetic number, because the mean of its divisors is an integer number (1135474200).

Almost surely, 2^81930032226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81930032226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109005523200).

81930032226 is an abundant number, since it is smaller than the sum of its proper divisors (136081014174).

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

81930032226 is a wasteful number, since it uses less digits than its factorization.

81930032226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6490 (or 6477 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 81930032226 in words is "eighty-one billion, nine hundred thirty million, thirty-two thousand, two hundred twenty-six".