14253641640 has 192 divisors, whose sum is σ = 53732914560. Its totient is φ = 3209310720.

The previous prime is 14253641639. The next prime is 14253641741. The reversal of 14253641640 is 4614635241.

14253641640 is a `hidden beast` number, since 1 + 4 + 2 + 5 + 3 + 6 + 4 + 1 + 640 = 666.

14253641640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14253641595 and 14253641604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126630 + ... + 211050.

It is an arithmetic number, because the mean of its divisors is an integer number (279858930).

Almost surely, 2^14253641640 is an apocalyptic number.

14253641640 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 14253641640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26866457280).

14253641640 is an abundant number, since it is smaller than the sum of its proper divisors (39479272920).

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

14253641640 is a wasteful number, since it uses less digits than its factorization.

14253641640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84512 (or 84505 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 14253641640 in words is "fourteen billion, two hundred fifty-three million, six hundred forty-one thousand, six hundred forty".