81334365211008 has 1792 divisors, whose sum is σ = 310882189363200. Its totient is φ = 20613000019968.

The previous prime is 81334365210991. The next prime is 81334365211013. The reversal of 81334365211008 is 80011256343318.

It is a happy number.

81334365211008 is a `hidden beast` number, since 8 + 13 + 3 + 4 + 3 + 6 + 521 + 100 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 26077063273 + ... + 26077066391.

It is an arithmetic number, because the mean of its divisors is an integer number (173483364600).

Almost surely, 2^{81334365211008} 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 81334365211008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155441094681600).

81334365211008 is an abundant number, since it is smaller than the sum of its proper divisors (229547824152192).

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

81334365211008 is a wasteful number, since it uses less digits than its factorization.

81334365211008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3291 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 81334365211008 in words is "eighty-one trillion, three hundred thirty-four billion, three hundred sixty-five million, two hundred eleven thousand, eight".