21329434116 has 81 divisors (see below), whose sum is σ = 54682070079. Its totient is φ = 7010208000.

The previous prime is 21329434111. The next prime is 21329434151. The reversal of 21329434116 is 61143492312.

The square root of 21329434116 is 146046.

It is a perfect power (a square), and thus also a powerful number.

21329434116 is a `hidden beast` number, since 2 + 13 + 294 + 341 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12044184516 + 9285249600 = 109746^2 + 96360^2 .

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

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 (21329434111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 88503756 + ... + 88503996.

Almost surely, 2^21329434116 is an apocalyptic number.

21329434116 is the 146046-th square number.

It is an amenable number.

21329434116 is an abundant number, since it is smaller than the sum of its proper divisors (33352635963).

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

21329434116 is a wasteful number, since it uses less digits than its factorization.

21329434116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 347 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

Multiplying 21329434116 by its sum of digits (36), we get a square (767859628176 = 876276²).

21329434116 divided by its sum of digits (36) gives a square (592484281 = 24341²).

The spelling of 21329434116 in words is "twenty-one billion, three hundred twenty-nine million, four hundred thirty-four thousand, one hundred sixteen".