81946625060 has 24 divisors (see below), whose sum is σ = 172095105336. Its totient is φ = 32777280000.

The previous prime is 81946625051. The next prime is 81946625071. The reversal of 81946625060 is 6052664918.

It can be written as a sum of positive squares in 4 ways, for example, as 18289316644 + 63657308416 = 135238^2 + 252304^2 .

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 81946624996 and 81946625014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 503810 + ... + 646310.

It is an arithmetic number, because the mean of its divisors is an integer number (7170629389).

Almost surely, 2^81946625060 is an apocalyptic number.

It is an amenable number.

81946625060 is an abundant number, since it is smaller than the sum of its proper divisors (90148480276).

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

81946625060 is a wasteful number, since it uses less digits than its factorization.

81946625060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171263 (or 171261 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 47.

The spelling of 81946625060 in words is "eighty-one billion, nine hundred forty-six million, six hundred twenty-five thousand, sixty".