14968165800 has 384 divisors, whose sum is σ = 56374963200. Its totient is φ = 3209103360.

The previous prime is 14968165769. The next prime is 14968165841. The reversal of 14968165800 is 856186941.

It is a self number, because there is not a number n which added to its sum of digits gives 14968165800.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8537724 + ... + 8539476.

It is an arithmetic number, because the mean of its divisors is an integer number (146809800).

Almost surely, 2^14968165800 is an apocalyptic number.

14968165800 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 14968165800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28187481600).

14968165800 is an abundant number, since it is smaller than the sum of its proper divisors (41406797400).

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

14968165800 is a wasteful number, since it uses less digits than its factorization.

14968165800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1905 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 14968165800 in words is "fourteen billion, nine hundred sixty-eight million, one hundred sixty-five thousand, eight hundred".