14222757885120 has 672 divisors, whose sum is σ = 54845860742400. Its totient is φ = 3495993053184.

The previous prime is 14222757885071. The next prime is 14222757885163. The reversal of 14222757885120 is 2158875722241.

It is a happy number.

14222757885120 is a `hidden beast` number, since 1 + 4 + 22 + 27 + 5 + 7 + 88 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 54535191 + ... + 54795369.

It is an arithmetic number, because the mean of its divisors is an integer number (81615864200).

Almost surely, 2^{14222757885120} is an apocalyptic number.

14222757885120 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 14222757885120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27422930371200).

14222757885120 is an abundant number, since it is smaller than the sum of its proper divisors (40623102857280).

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

14222757885120 is a wasteful number, since it uses less digits than its factorization.

14222757885120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260267 (or 260245 counting only the distinct ones).

The product of its (nonzero) digits is 5017600, while the sum is 54.

The spelling of 14222757885120 in words is "fourteen trillion, two hundred twenty-two billion, seven hundred fifty-seven million, eight hundred eighty-five thousand, one hundred twenty".