14357248830144 has 672 divisors, whose sum is σ = 49503428755200. Its totient is φ = 4045296107520.

The previous prime is 14357248830137. The next prime is 14357248830203. The reversal of 14357248830144 is 44103884275341.

14357248830144 is a `hidden beast` number, since 1 + 4 + 3 + 57 + 248 + 8 + 301 + 44 = 666.

It is a super-2 number, since 2×14357248830144² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 455929152 + ... + 455960640.

It is an arithmetic number, because the mean of its divisors is an integer number (73665816600).

Almost surely, 2^{14357248830144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14357248830144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24751714377600).

14357248830144 is an abundant number, since it is smaller than the sum of its proper divisors (35146179925056).

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

14357248830144 is a wasteful number, since it uses less digits than its factorization.

14357248830144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31638 (or 31605 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 14357248830144 in words is "fourteen trillion, three hundred fifty-seven billion, two hundred forty-eight million, eight hundred thirty thousand, one hundred forty-four".