13800929094656 has 176 divisors, whose sum is σ = 30971552020992. Its totient is φ = 6092779929600.

The previous prime is 13800929094611. The next prime is 13800929094661. The reversal of 13800929094656 is 65649092900831.

It is a tau number, because it is divible by the number of its divisors (176).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69252950 + ... + 69451946.

It is an arithmetic number, because the mean of its divisors is an integer number (175974727392).

Almost surely, 2^{13800929094656} is an apocalyptic number.

13800929094656 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 13800929094656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15485776010496).

13800929094656 is an abundant number, since it is smaller than the sum of its proper divisors (17170622926336).

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

13800929094656 is a wasteful number, since it uses less digits than its factorization.

13800929094656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199206 (or 199188 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 62.

The spelling of 13800929094656 in words is "thirteen trillion, eight hundred billion, nine hundred twenty-nine million, ninety-four thousand, six hundred fifty-six".