81227575149336 has 768 divisors, whose sum is σ = 294114646425600. Its totient is φ = 19638823680000.

The previous prime is 81227575149187. The next prime is 81227575149359. The reversal of 81227575149336 is 63394157572218.

81227575149336 is a `hidden beast` number, since 8 + 1 + 2 + 2 + 75 + 75 + 1 + 493 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 500214925 + ... + 500377283.

It is an arithmetic number, because the mean of its divisors is an integer number (382961779200).

Almost surely, 2^{81227575149336} 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 81227575149336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147057323212800).

81227575149336 is an abundant number, since it is smaller than the sum of its proper divisors (212887071276264).

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

81227575149336 is a wasteful number, since it uses less digits than its factorization.

81227575149336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162532 (or 162525 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 63.

The spelling of 81227575149336 in words is "eighty-one trillion, two hundred twenty-seven billion, five hundred seventy-five million, one hundred forty-nine thousand, three hundred thirty-six".