14055366656100 has 576 divisors, whose sum is σ = 51473249501184. Its totient is φ = 2876448000000.

The previous prime is 14055366656077. The next prime is 14055366656153. The reversal of 14055366656100 is 165666355041.

It is a self number, because there is not a number n which added to its sum of digits gives 14055366656100.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 445606330 + ... + 445637870.

It is an arithmetic number, because the mean of its divisors is an integer number (89363280384).

Almost surely, 2^{14055366656100} is an apocalyptic number.

14055366656100 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 14055366656100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25736624750592).

14055366656100 is an abundant number, since it is smaller than the sum of its proper divisors (37417882845084).

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

14055366656100 is a wasteful number, since it uses less digits than its factorization.

14055366656100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31868 (or 31861 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 48.

The spelling of 14055366656100 in words is "fourteen trillion, fifty-five billion, three hundred sixty-six million, six hundred fifty-six thousand, one hundred".