14346381840 has 160 divisors (see below), whose sum is σ = 51052446720. Its totient is φ = 3264640512.

The previous prime is 14346381839. The next prime is 14346381853. The reversal of 14346381840 is 4818364341.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 14346381792 and 14346381801.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362551 + ... + 400169.

It is an arithmetic number, because the mean of its divisors is an integer number (319077792).

Almost surely, 2^14346381840 is an apocalyptic number.

14346381840 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 14346381840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25526223360).

14346381840 is an abundant number, since it is smaller than the sum of its proper divisors (36706064880).

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

14346381840 is a wasteful number, since it uses less digits than its factorization.

14346381840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37869 (or 37863 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 14346381840 in words is "fourteen billion, three hundred forty-six million, three hundred eighty-one thousand, eight hundred forty".