14825521152 has 256 divisors, whose sum is σ = 47342484000. Its totient is φ = 4558159872.

The previous prime is 14825521141. The next prime is 14825521169. The reversal of 14825521152 is 25112552841.

14825521152 is a `hidden beast` number, since 1 + 4 + 82 + 5 + 521 + 1 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11500924 + ... + 11502212.

Almost surely, 2^14825521152 is an apocalyptic number.

14825521152 is a gapful number since it is divisible by the number (12) 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 14825521152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23671242000).

14825521152 is an abundant number, since it is smaller than the sum of its proper divisors (32516962848).

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

14825521152 is an equidigital number, since it uses as much as digits as its factorization.

14825521152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1307 counting only the distinct ones).

The product of its digits is 32000, while the sum is 36.

The spelling of 14825521152 in words is "fourteen billion, eight hundred twenty-five million, five hundred twenty-one thousand, one hundred fifty-two".