14500127628 has 432 divisors, whose sum is σ = 48997200000. Its totient is φ = 3686570496.

The previous prime is 14500127623. The next prime is 14500127641. The reversal of 14500127628 is 82672100541.

14500127628 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 0 + 1 + 27 + 628 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 14500127592 and 14500127601.

It is not an unprimeable number, because it can be changed into a prime (14500127623) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29058123 + ... + 29058621.

Almost surely, 2^14500127628 is an apocalyptic number.

14500127628 is a gapful number since it is divisible by the number (18) 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 14500127628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24498600000).

14500127628 is an abundant number, since it is smaller than the sum of its proper divisors (34497072372).

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

14500127628 is a wasteful number, since it uses less digits than its factorization.

14500127628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 14500127628 in words is "fourteen billion, five hundred million, one hundred twenty-seven thousand, six hundred twenty-eight".