21434268096 has 84 divisors (see below), whose sum is σ = 61706125000. Its totient is φ = 7113512448.

The previous prime is 21434268073. The next prime is 21434268101. The reversal of 21434268096 is 69086243412.

21434268096 is a `hidden beast` number, since 2 + 143 + 426 + 80 + 9 + 6 = 666.

It is a super-2 number, since 2×21434268096² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50655 + ... + 213153.

Almost surely, 2^21434268096 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 21434268096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30853062500).

21434268096 is an abundant number, since it is smaller than the sum of its proper divisors (40271856904).

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

21434268096 is a wasteful number, since it uses less digits than its factorization.

21434268096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162746 (or 162733 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 21434268096 in words is "twenty-one billion, four hundred thirty-four million, two hundred sixty-eight thousand, ninety-six".