81213694848000 has 6336 divisors, whose sum is σ = 387821918615040. Its totient is φ = 16661790720000.

The previous prime is 81213694847953. The next prime is 81213694848137. The reversal of 81213694848000 is 84849631218.

It is a happy number.

81213694848000 is a `hidden beast` number, since 8 + 1 + 21 + 3 + 69 + 484 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2619796607985 + ... + 2619796608015.

Almost surely, 2^{81213694848000} is an apocalyptic number.

81213694848000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81213694848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193910959307520).

81213694848000 is an abundant number, since it is smaller than the sum of its proper divisors (306608223767040).

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

81213694848000 is a wasteful number, since it uses less digits than its factorization.

81213694848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 81213694848000 in words is "eighty-one trillion, two hundred thirteen billion, six hundred ninety-four million, eight hundred forty-eight thousand".