14454976104 has 192 divisors, whose sum is σ = 44289460800. Its totient is φ = 4231636992.

The previous prime is 14454976103. The next prime is 14454976111. The reversal of 14454976104 is 40167945441.

14454976104 is a `hidden beast` number, since 1 + 4 + 454 + 97 + 6 + 104 = 666.

It is a super-2 number, since 2×14454976104² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14454976104.

It is not an unprimeable number, because it can be changed into a prime (14454976103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1553514 + ... + 1562790.

It is an arithmetic number, because the mean of its divisors is an integer number (230674275).

Almost surely, 2^14454976104 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 14454976104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22144730400).

14454976104 is an abundant number, since it is smaller than the sum of its proper divisors (29834484696).

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

14454976104 is a wasteful number, since it uses less digits than its factorization.

14454976104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9392 (or 9385 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 14454976104 in words is "fourteen billion, four hundred fifty-four million, nine hundred seventy-six thousand, one hundred four".