14528252880 has 320 divisors, whose sum is σ = 51611696640. Its totient is φ = 3754598400.

The previous prime is 14528252867. The next prime is 14528252881. The reversal of 14528252880 is 8825282541.

14528252880 is a `hidden beast` number, since 1 + 4 + 528 + 25 + 28 + 80 = 666.

It is a super-2 number, since 2×14528252880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14528252881) 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, 9354184 + ... + 9355736.

It is an arithmetic number, because the mean of its divisors is an integer number (161286552).

Almost surely, 2^14528252880 is an apocalyptic number.

14528252880 is a gapful number since it is divisible by the number (10) 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 14528252880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25805848320).

14528252880 is an abundant number, since it is smaller than the sum of its proper divisors (37083443760).

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

14528252880 is a wasteful number, since it uses less digits than its factorization.

14528252880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 45.

The spelling of 14528252880 in words is "fourteen billion, five hundred twenty-eight million, two hundred fifty-two thousand, eight hundred eighty".