221223824640 has 864 divisors, whose sum is σ = 965208980736. Its totient is φ = 45528514560.

The previous prime is 221223824609. The next prime is 221223824651. The reversal of 221223824640 is 46428322122.

221223824640 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 2 + 3 + 8 + 2 + 4 + 640 = 666.

It is a super-2 number, since 2×221223824640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 221223824595 and 221223824604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42978547 + ... + 42983693.

It is an arithmetic number, because the mean of its divisors is an integer number (1117140024).

Almost surely, 2^221223824640 is an apocalyptic number.

221223824640 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 221223824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482604490368).

221223824640 is an abundant number, since it is smaller than the sum of its proper divisors (743985156096).

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

221223824640 is a wasteful number, since it uses less digits than its factorization.

221223824640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5235 (or 5218 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 221223824640 in words is "two hundred twenty-one billion, two hundred twenty-three million, eight hundred twenty-four thousand, six hundred forty".