13906969893792 has 288 divisors, whose sum is σ = 42004618241040. Its totient is φ = 4349415260160.

The previous prime is 13906969893763. The next prime is 13906969893821. The reversal of 13906969893792 is 29739896960931.

13906969893792 is a `hidden beast` number, since 1 + 390 + 6 + 9 + 69 + 89 + 3 + 7 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (13906969893763) and next prime (13906969893821).

It can be written as a sum of positive squares in 8 ways, for example, as 44185721616 + 13862784172176 = 210204^2 + 3723276^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2283946684 + ... + 2283952772.

Almost surely, 2^{13906969893792} is an apocalyptic number.

13906969893792 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 13906969893792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21002309120520).

13906969893792 is an abundant number, since it is smaller than the sum of its proper divisors (28097648347248).

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

13906969893792 is a wasteful number, since it uses less digits than its factorization.

13906969893792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7496 (or 7485 counting only the distinct ones).

The product of its (nonzero) digits is 2142770112, while the sum is 81.

The spelling of 13906969893792 in words is "thirteen trillion, nine hundred six billion, nine hundred sixty-nine million, eight hundred ninety-three thousand, seven hundred ninety-two".