81623276352 has 168 divisors, whose sum is σ = 243872142176. Its totient is φ = 26076847104.

The previous prime is 81623276341. The next prime is 81623276353. The reversal of 81623276352 is 25367232618.

81623276352 is a `hidden beast` number, since 8 + 1 + 6 + 2 + 3 + 2 + 7 + 635 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 81623276298 and 81623276307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81623276353) 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 23 ways as a sum of consecutive naturals, for example, 1399323 + ... + 1456485.

Almost surely, 2^81623276352 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 81623276352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121936071088).

81623276352 is an abundant number, since it is smaller than the sum of its proper divisors (162248865824).

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

81623276352 is a wasteful number, since it uses less digits than its factorization.

81623276352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57285 (or 57272 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 81623276352 in words is "eighty-one billion, six hundred twenty-three million, two hundred seventy-six thousand, three hundred fifty-two".