14274824960 has 432 divisors, whose sum is σ = 40164501888. Its totient is φ = 4849827840.

The previous prime is 14274824957. The next prime is 14274825023. The reversal of 14274824960 is 6942847241.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269336294 + ... + 269336346.

It is an arithmetic number, because the mean of its divisors is an integer number (92973384).

Almost surely, 2^14274824960 is an apocalyptic number.

14274824960 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 14274824960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20082250944).

14274824960 is an abundant number, since it is smaller than the sum of its proper divisors (25889676928).

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

14274824960 is a wasteful number, since it uses less digits than its factorization.

14274824960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 47.

The spelling of 14274824960 in words is "fourteen billion, two hundred seventy-four million, eight hundred twenty-four thousand, nine hundred sixty".