14806268928 has 264 divisors, whose sum is σ = 49100488320. Its totient is φ = 4250050560.

The previous prime is 14806268927. The next prime is 14806268959. The reversal of 14806268928 is 82986260841.

14806268928 is a `hidden beast` number, since 1 + 4 + 8 + 0 + 626 + 8 + 9 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14806268927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1922301 + ... + 1929987.

Almost surely, 2^14806268928 is an apocalyptic number.

14806268928 is a gapful number since it is divisible by the number (18) 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 14806268928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24550244160).

14806268928 is an abundant number, since it is smaller than the sum of its proper divisors (34294219392).

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

14806268928 is a wasteful number, since it uses less digits than its factorization.

14806268928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7743 (or 7722 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 14806268928 in words is "fourteen billion, eight hundred six million, two hundred sixty-eight thousand, nine hundred twenty-eight".