14649942528 has 400 divisors, whose sum is σ = 48765550680. Its totient is φ = 4347592704.

The previous prime is 14649942523. The next prime is 14649942563. The reversal of 14649942528 is 82524994641.

14649942528 is a `hidden beast` number, since 1 + 464 + 99 + 42 + 52 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6341255424 + 8308687104 = 79632^2 + 91152^2 .

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 (14649942523) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15634476 + ... + 15635412.

Almost surely, 2^14649942528 is an apocalyptic number.

14649942528 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 14649942528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24382775340).

14649942528 is an abundant number, since it is smaller than the sum of its proper divisors (34115608152).

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

14649942528 is an equidigital number, since it uses as much as digits as its factorization.

14649942528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 984 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 14649942528 in words is "fourteen billion, six hundred forty-nine million, nine hundred forty-two thousand, five hundred twenty-eight".