14648138304 has 112 divisors (see below), whose sum is σ = 39693665088. Its totient is φ = 4765616128.

The previous prime is 14648138291. The next prime is 14648138311. The reversal of 14648138304 is 40383184641.

It is a super-2 number, since 2×14648138304² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2001019 + ... + 2008325.

It is an arithmetic number, because the mean of its divisors is an integer number (354407724).

Almost surely, 2^14648138304 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 14648138304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19846832544).

14648138304 is an abundant number, since it is smaller than the sum of its proper divisors (25045526784).

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

14648138304 is a wasteful number, since it uses less digits than its factorization.

14648138304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7572 (or 7562 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 14648138304 in words is "fourteen billion, six hundred forty-eight million, one hundred thirty-eight thousand, three hundred four".