14691764448 has 168 divisors, whose sum is σ = 43505116200. Its totient is φ = 4881648384.

The previous prime is 14691764419. The next prime is 14691764453. The reversal of 14691764448 is 84446719641.

14691764448 is a `hidden beast` number, since 1 + 46 + 91 + 76 + 4 + 448 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 14691764394 and 14691764403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 9073783 + ... + 9075401.

It is an arithmetic number, because the mean of its divisors is an integer number (258959025).

Almost surely, 2^14691764448 is an apocalyptic number.

14691764448 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 14691764448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21752558100).

14691764448 is an abundant number, since it is smaller than the sum of its proper divisors (28813351752).

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

14691764448 is an equidigital number, since it uses as much as digits as its factorization.

14691764448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2036 (or 2013 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 14691764448 in words is "fourteen billion, six hundred ninety-one million, seven hundred sixty-four thousand, four hundred forty-eight".