14535481128 has 320 divisors, whose sum is σ = 44744294400. Its totient is φ = 3929627520.

The previous prime is 14535481127. The next prime is 14535481141. The reversal of 14535481128 is 82118453541.

It is a happy number.

It is a super-2 number, since 2×14535481128² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 14535481128.

It is not an unprimeable number, because it can be changed into a prime (14535481127) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 141121125 + ... + 141121227.

It is an arithmetic number, because the mean of its divisors is an integer number (139825920).

Almost surely, 2^14535481128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14535481128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22372147200).

14535481128 is an abundant number, since it is smaller than the sum of its proper divisors (30208813272).

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

14535481128 is a wasteful number, since it uses less digits than its factorization.

14535481128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 225 counting only the distinct ones).

The product of its digits is 153600, while the sum is 42.

The spelling of 14535481128 in words is "fourteen billion, five hundred thirty-five million, four hundred eighty-one thousand, one hundred twenty-eight".