14474287872 has 720 divisors, whose sum is σ = 51285104640. Its totient is φ = 4014489600.

The previous prime is 14474287829. The next prime is 14474287879. The reversal of 14474287872 is 27878247441.

14474287872 is a `hidden beast` number, since 1 + 447 + 42 + 87 + 87 + 2 = 666.

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 (14474287879) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 162632404 + ... + 162632492.

It is an arithmetic number, because the mean of its divisors is an integer number (71229312).

Almost surely, 2^14474287872 is an apocalyptic number.

14474287872 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 14474287872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25642552320).

14474287872 is an abundant number, since it is smaller than the sum of its proper divisors (36810816768).

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

14474287872 is a wasteful number, since it uses less digits than its factorization.

14474287872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 159 counting only the distinct ones).

The product of its digits is 5619712, while the sum is 54.

The spelling of 14474287872 in words is "fourteen billion, four hundred seventy-four million, two hundred eighty-seven thousand, eight hundred seventy-two".