14678435857800 has 768 divisors, whose sum is σ = 56656211270400. Its totient is φ = 3088554393600.

The previous prime is 14678435857781. The next prime is 14678435857831. The reversal of 14678435857800 is 875853487641.

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 1775112066 + ... + 1775120334.

It is an arithmetic number, because the mean of its divisors is an integer number (73771108425).

Almost surely, 2^{14678435857800} is an apocalyptic number.

14678435857800 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 14678435857800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28328105635200).

14678435857800 is an abundant number, since it is smaller than the sum of its proper divisors (41977775412600).

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

14678435857800 is a wasteful number, since it uses less digits than its factorization.

14678435857800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9546 (or 9537 counting only the distinct ones).

The product of its (nonzero) digits is 180633600, while the sum is 66.

The spelling of 14678435857800 in words is "fourteen trillion, six hundred seventy-eight billion, four hundred thirty-five million, eight hundred fifty-seven thousand, eight hundred".