81034196966064 has 480 divisors, whose sum is σ = 261838341273600. Its totient is φ = 23225073131520.

The previous prime is 81034196965963. The next prime is 81034196966069. The reversal of 81034196966064 is 46066969143018.

81034196966064 is a `hidden beast` number, since 8 + 1 + 0 + 3 + 4 + 19 + 6 + 9 + 6 + 606 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 81034196965992 and 81034196966010.

It is not an unprimeable number, because it can be changed into a prime (81034196966069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 407950482 + ... + 408149070.

It is an arithmetic number, because the mean of its divisors is an integer number (545496544320).

Almost surely, 2^{81034196966064} 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 81034196966064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130919170636800).

81034196966064 is an abundant number, since it is smaller than the sum of its proper divisors (180804144307536).

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

81034196966064 is a wasteful number, since it uses less digits than its factorization.

81034196966064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198953 (or 198944 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 81034196966064 in words is "eighty-one trillion, thirty-four billion, one hundred ninety-six million, nine hundred sixty-six thousand, sixty-four".