14254248960 has 792 divisors, whose sum is σ = 58974233760. Its totient is φ = 3172958208.

The previous prime is 14254248917. The next prime is 14254248979. The reversal of 14254248960 is 6984245241.

It is a happy number.

14254248960 is a `hidden beast` number, since 1 + 4 + 2 + 542 + 48 + 9 + 60 = 666.

It is a super-2 number, since 2×14254248960² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 133217227 + ... + 133217333.

Almost surely, 2^14254248960 is an apocalyptic number.

14254248960 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 14254248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29487116880).

14254248960 is an abundant number, since it is smaller than the sum of its proper divisors (44719984800).

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

14254248960 is a wasteful number, since it uses less digits than its factorization.

14254248960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 14254248960 in words is "fourteen billion, two hundred fifty-four million, two hundred forty-eight thousand, nine hundred sixty".