14269457664 has 576 divisors, whose sum is σ = 53420021760. Its totient is φ = 3695155200.

The previous prime is 14269457647. The next prime is 14269457707. The reversal of 14269457664 is 46675496241.

14269457664 is a `hidden beast` number, since 1 + 4 + 2 + 6 + 9 + 4 + 576 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 14269457664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43109979 + ... + 43110309.

Almost surely, 2^14269457664 is an apocalyptic number.

14269457664 is a gapful number since it is divisible by the number (14) 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 14269457664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26710010880).

14269457664 is an abundant number, since it is smaller than the sum of its proper divisors (39150564096).

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

14269457664 is an frugal number, since it uses more digits than its factorization.

14269457664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 354 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 14269457664 in words is "fourteen billion, two hundred sixty-nine million, four hundred fifty-seven thousand, six hundred sixty-four".