14925850214400 has 624 divisors, whose sum is σ = 54921893479200. Its totient is φ = 3974186926080.

The previous prime is 14925850214381. The next prime is 14925850214417. The reversal of 14925850214400 is 441205852941.

14925850214400 is a `hidden beast` number, since 1 + 4 + 9 + 2 + 585 + 0 + 21 + 4 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22649241271 + ... + 22649241929.

Almost surely, 2^{14925850214400} is an apocalyptic number.

14925850214400 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 14925850214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27460946739600).

14925850214400 is an abundant number, since it is smaller than the sum of its proper divisors (39996043264800).

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

14925850214400 is an frugal number, since it uses more digits than its factorization.

14925850214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 14925850214400 in words is "fourteen trillion, nine hundred twenty-five billion, eight hundred fifty million, two hundred fourteen thousand, four hundred".