8194100745600 has 2304 divisors, whose sum is σ = 38186355916800. Its totient is φ = 1685438668800.

The previous prime is 8194100745569. The next prime is 8194100745619. The reversal of 8194100745600 is 65470014918.

8194100745600 is a `hidden beast` number, since 8 + 1 + 9 + 4 + 10 + 0 + 74 + 560 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6406645761 + ... + 6406647039.

It is an arithmetic number, because the mean of its divisors is an integer number (16573939200).

Almost surely, 2^{8194100745600} is an apocalyptic number.

8194100745600 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 8194100745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19093177958400).

8194100745600 is an abundant number, since it is smaller than the sum of its proper divisors (29992255171200).

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

8194100745600 is a wasteful number, since it uses less digits than its factorization.

8194100745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 8194100745600 in words is "eight trillion, one hundred ninety-four billion, one hundred million, seven hundred forty-five thousand, six hundred".