21724332245352 has 192 divisors, whose sum is σ = 67320037780800. Its totient is φ = 6484874774400.

The previous prime is 21724332245327. The next prime is 21724332245353. The reversal of 21724332245352 is 25354223342712.

21724332245352 is a `hidden beast` number, since 2 + 1 + 7 + 24 + 3 + 32 + 245 + 352 = 666.

It is a super-2 number, since 2×21724332245352² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21724332245298 and 21724332245307.

It is not an unprimeable number, because it can be changed into a prime (21724332245353) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4451899 + ... + 7954122.

It is an arithmetic number, because the mean of its divisors is an integer number (350625196775).

Almost surely, 2^{21724332245352} is an apocalyptic number.

21724332245352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21724332245352 is an abundant number, since it is smaller than the sum of its proper divisors (45595705535448).

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

21724332245352 is a wasteful number, since it uses less digits than its factorization.

21724332245352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12406125 (or 12406104 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 45.

The spelling of 21724332245352 in words is "twenty-one trillion, seven hundred twenty-four billion, three hundred thirty-two million, two hundred forty-five thousand, three hundred fifty-two".