21233306810628 has 1152 divisors, whose sum is σ = 70894930821120. Its totient is φ = 5452680499200.

The previous prime is 21233306810567. The next prime is 21233306810671. The reversal of 21233306810628 is 82601860333212.

21233306810628 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 3 + 3 + 0 + 6 + 8 + 10 + 628 = 666.

It is a super-2 number, since 2×21233306810628² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5860695625 + ... + 5860699247.

It is an arithmetic number, because the mean of its divisors is an integer number (61540738560).

Almost surely, 2^{21233306810628} 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 21233306810628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35447465410560).

21233306810628 is an abundant number, since it is smaller than the sum of its proper divisors (49661624010492).

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

21233306810628 is a wasteful number, since it uses less digits than its factorization.

21233306810628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3766 (or 3747 counting only the distinct ones).

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

The spelling of 21233306810628 in words is "twenty-one trillion, two hundred thirty-three billion, three hundred six million, eight hundred ten thousand, six hundred twenty-eight".