13692106745856 has 1152 divisors, whose sum is σ = 50131568148480. Its totient is φ = 3497184460800.

The previous prime is 13692106745843. The next prime is 13692106745881. The reversal of 13692106745856 is 65854760129631.

It is a happy number.

13692106745856 is a `hidden beast` number, since 1 + 3 + 69 + 2 + 10 + 67 + 458 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×13692106745856³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 13692106745793 and 13692106745802.

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 95 ways as a sum of consecutive naturals, for example, 37308192585 + ... + 37308192951.

It is an arithmetic number, because the mean of its divisors is an integer number (43516986240).

It is a 1-persistent number, because it is pandigital, but 2⋅13692106745856 = 27384213491712 is not.

Almost surely, 2^{13692106745856} is an apocalyptic number.

13692106745856 is a gapful number since it is divisible by the number (16) 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 13692106745856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25065784074240).

13692106745856 is an abundant number, since it is smaller than the sum of its proper divisors (36439461402624).

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

13692106745856 is a wasteful number, since it uses less digits than its factorization.

13692106745856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 13692106745856 in words is "thirteen trillion, six hundred ninety-two billion, one hundred six million, seven hundred forty-five thousand, eight hundred fifty-six".