13694104771200 has 768 divisors, whose sum is σ = 59123834880000. Its totient is φ = 3029106585600.

The previous prime is 13694104771097. The next prime is 13694104771307. The reversal of 13694104771200 is 217740149631.

It is a happy number.

13694104771200 is a `hidden beast` number, since 1 + 369 + 4 + 10 + 4 + 7 + 71 + 200 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18383601 + ... + 19113999.

It is an arithmetic number, because the mean of its divisors is an integer number (76984160000).

Almost surely, 2^{13694104771200} is an apocalyptic number.

13694104771200 is a gapful number since it is divisible by the number (10) 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 13694104771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29561917440000).

13694104771200 is an abundant number, since it is smaller than the sum of its proper divisors (45429730108800).

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

13694104771200 is a wasteful number, since it uses less digits than its factorization.

13694104771200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730470 (or 730447 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 13694104771200 in words is "thirteen trillion, six hundred ninety-four billion, one hundred four million, seven hundred seventy-one thousand, two hundred".