14247764496 has 315 divisors, whose sum is σ = 48178991341. Its totient is φ = 3930417792.

The previous prime is 14247764477. The next prime is 14247764501. The reversal of 14247764496 is 69446774241.

It is a happy number.

The square root of 14247764496 is 119364.

It is a perfect power (a square), and thus also a powerful number.

14247764496 is a `hidden beast` number, since 1 + 4 + 24 + 77 + 64 + 496 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7471182096 + 6776582400 = 86436^2 + 82320^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 491302210 + ... + 491302238.

Almost surely, 2^14247764496 is an apocalyptic number.

14247764496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14247764496 is the 119364-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14247764496

14247764496 is an abundant number, since it is smaller than the sum of its proper divisors (33931226845).

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

14247764496 is an frugal number, since it uses more digits than its factorization.

14247764496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 41 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The spelling of 14247764496 in words is "fourteen billion, two hundred forty-seven million, seven hundred sixty-four thousand, four hundred ninety-six".