14521393152 has 448 divisors, whose sum is σ = 50202754560. Its totient is φ = 4062707712.

The previous prime is 14521393151. The next prime is 14521393153. The reversal of 14521393152 is 25139312541.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14521393151) and next prime (14521393153).

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14521393151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128507848 + ... + 128507960.

It is an arithmetic number, because the mean of its divisors is an integer number (112059720).

Almost surely, 2^14521393152 is an apocalyptic number.

14521393152 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 14521393152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25101377280).

14521393152 is an abundant number, since it is smaller than the sum of its proper divisors (35681361408).

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

14521393152 is an equidigital number, since it uses as much as digits as its factorization.

14521393152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 208 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The spelling of 14521393152 in words is "fourteen billion, five hundred twenty-one million, three hundred ninety-three thousand, one hundred fifty-two".