13694125207392 has 1728 divisors, whose sum is σ = 52366225766400. Its totient is φ = 3458112860160.

The previous prime is 13694125207271. The next prime is 13694125207447. The reversal of 13694125207392 is 29370252149631.

It is a happy number.

13694125207392 is a `hidden beast` number, since 1 + 3 + 6 + 9 + 41 + 2 + 5 + 207 + 392 = 666.

It is a super-2 number, since 2×13694125207392² (a number of 27 digits) contains 22 as substring.

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

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, 20971094938 + ... + 20971095590.

It is an arithmetic number, because the mean of its divisors is an integer number (30304528800).

Almost surely, 2^{13694125207392} is an apocalyptic number.

13694125207392 is a gapful number since it is divisible by the number (12) 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 13694125207392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26183112883200).

13694125207392 is an abundant number, since it is smaller than the sum of its proper divisors (38672100559008).

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

13694125207392 is a wasteful number, since it uses less digits than its factorization.

13694125207392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 13694125207392 in words is "thirteen trillion, six hundred ninety-four billion, one hundred twenty-five million, two hundred seven thousand, three hundred ninety-two".