14564252538 has 96 divisors (see below), whose sum is σ = 35584952832. Its totient is φ = 4265049600.

The previous prime is 14564252537. The next prime is 14564252551. The reversal of 14564252538 is 83525246541.

14564252538 is a `hidden beast` number, since 1 + 4 + 5 + 64 + 2 + 52 + 538 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14564252493 and 14564252502.

It is not an unprimeable number, because it can be changed into a prime (14564252537) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6339406 + ... + 6341702.

It is an arithmetic number, because the mean of its divisors is an integer number (370676592).

Almost surely, 2^14564252538 is an apocalyptic number.

14564252538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14564252538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17792476416).

14564252538 is an abundant number, since it is smaller than the sum of its proper divisors (21020700294).

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

14564252538 is a wasteful number, since it uses less digits than its factorization.

14564252538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3380 (or 3377 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

The spelling of 14564252538 in words is "fourteen billion, five hundred sixty-four million, two hundred fifty-two thousand, five hundred thirty-eight".