14470460928 has 480 divisors, whose sum is σ = 55153612800. Its totient is φ = 3535994880.

The previous prime is 14470460923. The next prime is 14470460929. The reversal of 14470460928 is 82906407441.

14470460928 is a `hidden beast` number, since 14 + 4 + 7 + 0 + 4 + 609 + 28 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14470460923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6030673 + ... + 6033071.

It is an arithmetic number, because the mean of its divisors is an integer number (114903360).

Almost surely, 2^14470460928 is an apocalyptic number.

14470460928 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 14470460928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27576806400).

14470460928 is an abundant number, since it is smaller than the sum of its proper divisors (40683151872).

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

14470460928 is a wasteful number, since it uses less digits than its factorization.

14470460928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2458 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 14470460928 in words is "fourteen billion, four hundred seventy million, four hundred sixty thousand, nine hundred twenty-eight".