14819208768 has 336 divisors, whose sum is σ = 54580901760. Its totient is φ = 3908072448.

The previous prime is 14819208763. The next prime is 14819208799. The reversal of 14819208768 is 86780291841.

14819208768 is a `hidden beast` number, since 1 + 481 + 9 + 20 + 87 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is not an unprimeable number, because it can be changed into a prime (14819208763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1094005 + ... + 1107467.

It is an arithmetic number, because the mean of its divisors is an integer number (162443160).

Almost surely, 2^14819208768 is an apocalyptic number.

14819208768 is a gapful number since it is divisible by the number (18) 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 14819208768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27290450880).

14819208768 is an abundant number, since it is smaller than the sum of its proper divisors (39761692992).

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

14819208768 is a wasteful number, since it uses less digits than its factorization.

14819208768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13511 (or 13488 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 14819208768 in words is "fourteen billion, eight hundred nineteen million, two hundred eight thousand, seven hundred sixty-eight".