21724089409134 has 256 divisors, whose sum is σ = 60492565463040. Its totient is φ = 5635477463040.

The previous prime is 21724089409129. The next prime is 21724089409171. The reversal of 21724089409134 is 43190498042712.

21724089409134 is a `hidden beast` number, since 2 + 1 + 7 + 24 + 0 + 89 + 409 + 134 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62976294 + ... + 63320310.

It is an arithmetic number, because the mean of its divisors is an integer number (236299083840).

Almost surely, 2^{21724089409134} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21724089409134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30246282731520).

21724089409134 is an abundant number, since it is smaller than the sum of its proper divisors (38768476053906).

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

21724089409134 is a wasteful number, since it uses less digits than its factorization.

21724089409134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344400 (or 344394 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 21724089409134 in words is "twenty-one trillion, seven hundred twenty-four billion, eighty-nine million, four hundred nine thousand, one hundred thirty-four".