14454904464 has 320 divisors, whose sum is σ = 55709767680. Its totient is φ = 3465607680.

The previous prime is 14454904447. The next prime is 14454904523. The reversal of 14454904464 is 46440945441.

It is a happy number.

14454904464 is a `hidden beast` number, since 1 + 4 + 4 + 549 + 0 + 44 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 415719 + ... + 449145.

It is an arithmetic number, because the mean of its divisors is an integer number (174093024).

Almost surely, 2^14454904464 is an apocalyptic number.

14454904464 is a gapful number since it is divisible by the number (14) 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 14454904464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27854883840).

14454904464 is an abundant number, since it is smaller than the sum of its proper divisors (41254863216).

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

14454904464 is a wasteful number, since it uses less digits than its factorization.

14454904464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33475 (or 33463 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 14454904464 in words is "fourteen billion, four hundred fifty-four million, nine hundred four thousand, four hundred sixty-four".