21434112144 has 30 divisors (see below), whose sum is σ = 59985744806. Its totient is φ = 7144704000.

The previous prime is 21434112131. The next prime is 21434112149. The reversal of 21434112144 is 44121143412.

21434112144 is a `hidden beast` number, since 2 + 1 + 434 + 11 + 214 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21429446544 + 4665600 = 146388^2 + 2160^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21434112149) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 74423857 + ... + 74424144.

Almost surely, 2^21434112144 is an apocalyptic number.

21434112144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21434112144 is an abundant number, since it is smaller than the sum of its proper divisors (38551632662).

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

21434112144 is a wasteful number, since it uses less digits than its factorization.

21434112144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148848015 (or 148848006 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 21434112144 its reverse (44121143412), we get a palindrome (65555255556).

The spelling of 21434112144 in words is "twenty-one billion, four hundred thirty-four million, one hundred twelve thousand, one hundred forty-four".