14427858672 has 240 divisors, whose sum is σ = 44388096480. Its totient is φ = 4528742400.

The previous prime is 14427858661. The next prime is 14427858689. The reversal of 14427858672 is 27685872441.

14427858672 is a `hidden beast` number, since 14 + 42 + 7 + 8 + 586 + 7 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4621272 + ... + 4624392.

It is an arithmetic number, because the mean of its divisors is an integer number (184950402).

Almost surely, 2^14427858672 is an apocalyptic number.

14427858672 is a gapful number since it is divisible by the number (12) 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 14427858672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22194048240).

14427858672 is an abundant number, since it is smaller than the sum of its proper divisors (29960237808).

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

14427858672 is a wasteful number, since it uses less digits than its factorization.

14427858672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3214 (or 3196 counting only the distinct ones).

The product of its digits is 6021120, while the sum is 54.

The spelling of 14427858672 in words is "fourteen billion, four hundred twenty-seven million, eight hundred fifty-eight thousand, six hundred seventy-two".