21834003456 has 132 divisors (see below), whose sum is σ = 63509067492. Its totient is φ = 7224459264.

The previous prime is 21834003413. The next prime is 21834003473. The reversal of 21834003456 is 65430043812.

21834003456 is a `hidden beast` number, since 218 + 3 + 400 + 34 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5751705600 + 16082297856 = 75840^2 + 126816^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 21834003456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1253946 + ... + 1271238.

Almost surely, 2^21834003456 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 21834003456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31754533746).

21834003456 is an abundant number, since it is smaller than the sum of its proper divisors (41675064036).

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

21834003456 is a wasteful number, since it uses less digits than its factorization.

21834003456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17456 (or 17435 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 21834003456 in words is "twenty-one billion, eight hundred thirty-four million, three thousand, four hundred fifty-six".