220955990404032 has 168 divisors, whose sum is σ = 682093634265680. Its totient is φ = 67981927587840.

The previous prime is 220955990403923. The next prime is 220955990404087. The reversal of 220955990404032 is 230404099559022.

220955990404032 is a `hidden beast` number, since 2 + 2 + 0 + 9 + 5 + 599 + 0 + 4 + 0 + 40 + 3 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 220955990404032.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 112250319 + ... + 114201777.

Almost surely, 2^{220955990404032} 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 220955990404032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341046817132840).

220955990404032 is an abundant number, since it is smaller than the sum of its proper divisors (461137643861648).

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

220955990404032 is a wasteful number, since it uses less digits than its factorization.

220955990404032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966611 (or 1966598 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 220955990404032 in words is "two hundred twenty trillion, nine hundred fifty-five billion, nine hundred ninety million, four hundred four thousand, thirty-two".