14946848028 has 480 divisors, whose sum is σ = 49541775360. Its totient is φ = 3833723520.

The previous prime is 14946848027. The next prime is 14946848093. The reversal of 14946848028 is 82084864941.

It is a happy number.

14946848028 is a `hidden beast` number, since 14 + 94 + 68 + 480 + 2 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14946848027) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 89502001 + ... + 89502167.

It is an arithmetic number, because the mean of its divisors is an integer number (103212032).

Almost surely, 2^14946848028 is an apocalyptic number.

14946848028 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 14946848028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24770887680).

14946848028 is an abundant number, since it is smaller than the sum of its proper divisors (34594927332).

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

14946848028 is a wasteful number, since it uses less digits than its factorization.

14946848028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 14946848028 in words is "fourteen billion, nine hundred forty-six million, eight hundred forty-eight thousand, twenty-eight".