14456379520 has 512 divisors, whose sum is σ = 42865459200. Its totient is φ = 4598415360.

The previous prime is 14456379467. The next prime is 14456379523. The reversal of 14456379520 is 2597365441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (14456379523) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113829697 + ... + 113829823.

It is an arithmetic number, because the mean of its divisors is an integer number (83721600).

Almost surely, 2^14456379520 is an apocalyptic number.

14456379520 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 14456379520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21432729600).

14456379520 is an abundant number, since it is smaller than the sum of its proper divisors (28409079680).

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

14456379520 is a wasteful number, since it uses less digits than its factorization.

14456379520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 46.

The spelling of 14456379520 in words is "fourteen billion, four hundred fifty-six million, three hundred seventy-nine thousand, five hundred twenty".