14421915648 has 768 divisors, whose sum is σ = 53778816000. Its totient is φ = 3726508032.

The previous prime is 14421915647. The next prime is 14421915659. The reversal of 14421915648 is 84651912441.

14421915648 is a `hidden beast` number, since 1 + 442 + 19 + 156 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-3 number, since 3×14421915648³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14421915647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 272111590 + ... + 272111642.

It is an arithmetic number, because the mean of its divisors is an integer number (70024500).

Almost surely, 2^14421915648 is an apocalyptic number.

14421915648 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 14421915648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26889408000).

14421915648 is an abundant number, since it is smaller than the sum of its proper divisors (39356900352).

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

14421915648 is a wasteful number, since it uses less digits than its factorization.

14421915648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 121 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 14421915648 in words is "fourteen billion, four hundred twenty-one million, nine hundred fifteen thousand, six hundred forty-eight".