14387148720 has 400 divisors, whose sum is σ = 58281537600. Its totient is φ = 3287983104.

The previous prime is 14387148691. The next prime is 14387148757. The reversal of 14387148720 is 2784178341.

14387148720 is a `hidden beast` number, since 1 + 438 + 7 + 148 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2219404 + ... + 2225876.

It is an arithmetic number, because the mean of its divisors is an integer number (145703844).

Almost surely, 2^14387148720 is an apocalyptic number.

14387148720 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 14387148720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29140768800).

14387148720 is an abundant number, since it is smaller than the sum of its proper divisors (43894388880).

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

14387148720 is an equidigital number, since it uses as much as digits as its factorization.

14387148720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6519 (or 6490 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 14387148720 in words is "fourteen billion, three hundred eighty-seven million, one hundred forty-eight thousand, seven hundred twenty".