22833880884000 has 864 divisors, whose sum is σ = 86206493488752. Its totient is φ = 5940241920000.

The previous prime is 22833880883987. The next prime is 22833880884121. The reversal of 22833880884000 is 48808833822.

It is a happy number.

22833880884000 is a `hidden beast` number, since 2 + 2 + 83 + 3 + 8 + 80 + 88 + 400 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 850873415184 + 21983007468816 = 922428^2 + 4688604^2 .

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×22833880884000² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1075993390 + ... + 1076014610.

Almost surely, 2^{22833880884000} is an apocalyptic number.

22833880884000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22833880884000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43103246744376).

22833880884000 is an abundant number, since it is smaller than the sum of its proper divisors (63372612604752).

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

22833880884000 is an frugal number, since it uses more digits than its factorization.

22833880884000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21311 (or 21272 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 22833880884000 in words is "twenty-two trillion, eight hundred thirty-three billion, eight hundred eighty million, eight hundred eighty-four thousand".