81122363949312 has 432 divisors, whose sum is σ = 279236296335360. Its totient is φ = 22145869836288.

The previous prime is 81122363949269. The next prime is 81122363949331. The reversal of 81122363949312 is 21394936322118.

It is a happy number.

81122363949312 is a `hidden beast` number, since 8 + 1 + 1 + 2 + 236 + 3 + 94 + 9 + 312 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340778553 + ... + 341016519.

Almost surely, 2^{81122363949312} 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 81122363949312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139618148167680).

81122363949312 is an abundant number, since it is smaller than the sum of its proper divisors (198113932386048).

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

81122363949312 is a wasteful number, since it uses less digits than its factorization.

81122363949312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238938 (or 238921 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The spelling of 81122363949312 in words is "eighty-one trillion, one hundred twenty-two billion, three hundred sixty-three million, nine hundred forty-nine thousand, three hundred twelve".