8101394496000 has 3360 divisors, whose sum is σ = 35355501509328. Its totient is φ = 1838171750400.

The previous prime is 8101394495927. The next prime is 8101394496007. The reversal of 8101394496000 is 6944931018.

8101394496000 is a `hidden beast` number, since 8 + 1 + 0 + 1 + 39 + 4 + 4 + 9 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 359021465856 + 7742373030144 = 599184^2 + 2782512^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8101394496007) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 218956607982 + ... + 218956608018.

Almost surely, 2^{8101394496000} is an apocalyptic number.

8101394496000 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 8101394496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17677750754664).

8101394496000 is an abundant number, since it is smaller than the sum of its proper divisors (27254107013328).

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

8101394496000 is an equidigital number, since it uses as much as digits as its factorization.

8101394496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 8101394496000 in words is "eight trillion, one hundred one billion, three hundred ninety-four million, four hundred ninety-six thousand".