220882141419264 has 864 divisors, whose sum is σ = 707005266327360. Its totient is φ = 65902561984512.

The previous prime is 220882141419209. The next prime is 220882141419293. The reversal of 220882141419264 is 462914141288022.

220882141419264 is a `hidden beast` number, since 2 + 2 + 0 + 8 + 8 + 214 + 1 + 419 + 2 + 6 + 4 = 666.

It is a super-2 number, since 2×220882141419264² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 220882141419264.

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, 95661385342 + ... + 95661387650.

Almost surely, 2^{220882141419264} is an apocalyptic number.

220882141419264 is a gapful number since it is divisible by the number (24) 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 220882141419264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353502633163680).

220882141419264 is an abundant number, since it is smaller than the sum of its proper divisors (486123124908096).

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

220882141419264 is a wasteful number, since it uses less digits than its factorization.

220882141419264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3137 (or 3120 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 220882141419264 in words is "two hundred twenty trillion, eight hundred eighty-two billion, one hundred forty-one million, four hundred nineteen thousand, two hundred sixty-four".