14478289920 has 396 divisors, whose sum is σ = 52214613984. Its totient is φ = 3851919360.

The previous prime is 14478289913. The next prime is 14478289927. The reversal of 14478289920 is 2998287441.

14478289920 is a `hidden beast` number, since 1 + 4 + 478 + 2 + 89 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14478289913) and next prime (14478289927).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (14478289927) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33592105 + ... + 33592535.

Almost surely, 2^14478289920 is an apocalyptic number.

14478289920 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 14478289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26107306992).

14478289920 is an abundant number, since it is smaller than the sum of its proper divisors (37736324064).

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

14478289920 is an frugal number, since it uses more digits than its factorization.

14478289920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 14478289920 in words is "fourteen billion, four hundred seventy-eight million, two hundred eighty-nine thousand, nine hundred twenty".