14463651840 has 208 divisors, whose sum is σ = 50487489216. Its totient is φ = 3506176000.

The previous prime is 14463651791. The next prime is 14463651869. The reversal of 14463651840 is 4815636441.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 14463651792 and 14463651801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 665140 + ... + 686540.

Almost surely, 2^14463651840 is an apocalyptic number.

14463651840 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 14463651840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25243744608).

14463651840 is an abundant number, since it is smaller than the sum of its proper divisors (36023837376).

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

14463651840 is a wasteful number, since it uses less digits than its factorization.

14463651840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21444 (or 21422 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 14463651840 in words is "fourteen billion, four hundred sixty-three million, six hundred fifty-one thousand, eight hundred forty".