14520427152 has 480 divisors, whose sum is σ = 50753894400. Its totient is φ = 3527193600.

The previous prime is 14520427139. The next prime is 14520427157. The reversal of 14520427152 is 25172402541.

It is a super-2 number, since 2×14520427152² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (14520427157) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53580777 + ... + 53581047.

It is an arithmetic number, because the mean of its divisors is an integer number (105737280).

Almost surely, 2^14520427152 is an apocalyptic number.

14520427152 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 14520427152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25376947200).

14520427152 is an abundant number, since it is smaller than the sum of its proper divisors (36233467248).

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

14520427152 is a wasteful number, since it uses less digits than its factorization.

14520427152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

Adding to 14520427152 its reverse (25172402541), we get a palindrome (39692829693).

The spelling of 14520427152 in words is "fourteen billion, five hundred twenty million, four hundred twenty-seven thousand, one hundred fifty-two".