21224146839552 has 576 divisors, whose sum is σ = 70236081901440. Its totient is φ = 6368995049472.

The previous prime is 21224146839523. The next prime is 21224146839641. The reversal of 21224146839552 is 25593864142212.

21224146839552 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 4 + 1 + 4 + 6 + 83 + 9 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

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 47 ways as a sum of consecutive naturals, for example, 194532088 + ... + 194641160.

It is an arithmetic number, because the mean of its divisors is an integer number (121937642190).

Almost surely, 2^{21224146839552} 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 21224146839552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35118040950720).

21224146839552 is an abundant number, since it is smaller than the sum of its proper divisors (49011935061888).

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

21224146839552 is a wasteful number, since it uses less digits than its factorization.

21224146839552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109150 (or 109118 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 21224146839552 in words is "twenty-one trillion, two hundred twenty-four billion, one hundred forty-six million, eight hundred thirty-nine thousand, five hundred fifty-two".