14000457255300 has 180 divisors, whose sum is σ = 45545467505076. Its totient is φ = 3720168345600.

The previous prime is 14000457255293. The next prime is 14000457255331. The reversal of 14000457255300 is 355275400041.

14000457255300 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 0 + 4 + 572 + 55 + 30 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 958550651136 + 13041906604164 = 979056^2 + 3611358^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 799437 + ... + 5351636.

Almost surely, 2^{14000457255300} is an apocalyptic number.

14000457255300 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 14000457255300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22772733752538).

14000457255300 is an abundant number, since it is smaller than the sum of its proper divisors (31545010249776).

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

14000457255300 is a wasteful number, since it uses less digits than its factorization.

14000457255300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6151380 (or 6151364 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 14000457255300 in words is "fourteen trillion, four hundred fifty-seven million, two hundred fifty-five thousand, three hundred".