221452626900960 has 2688 divisors, whose sum is σ = 1039919062533120. Its totient is φ = 43233799569408.

The previous prime is 221452626900959. The next prime is 221452626900997. The reversal of 221452626900960 is 69009626254122.

221452626900960 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 5 + 2 + 626 + 9 + 0 + 0 + 9 + 6 + 0 = 666.

221452626900960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×221452626900960² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 221452626900897 and 221452626900906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 8671821312 + ... + 8671846848.

It is an arithmetic number, because the mean of its divisors is an integer number (386874651240).

Almost surely, 2^{221452626900960} is an apocalyptic number.

221452626900960 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 221452626900960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519959531266560).

221452626900960 is an abundant number, since it is smaller than the sum of its proper divisors (818466435632160).

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

221452626900960 is a wasteful number, since it uses less digits than its factorization.

221452626900960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25652 (or 25629 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 221452626900960 in words is "two hundred twenty-one trillion, four hundred fifty-two billion, six hundred twenty-six million, nine hundred thousand, nine hundred sixty".