221411707053056 has 88 divisors (see below), whose sum is σ = 476692666389240. Its totient is φ = 102181707251712.

The previous prime is 221411707053041. The next prime is 221411707053059. The reversal of 221411707053056 is 650350707114122.

It can be written as a sum of positive squares in 4 ways, for example, as 4721059840000 + 216690647213056 = 2172800^2 + 14720416^2 .

It is a junction number, because it is equal to n+sod(n) for n = 221411707052998 and 221411707053016.

It is not an unprimeable number, because it can be changed into a prime (221411707053059) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164518430 + ... + 165858786.

Almost surely, 2^{221411707053056} is an apocalyptic number.

221411707053056 is a gapful number since it is divisible by the number (26) 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 221411707053056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238346333194620).

221411707053056 is an abundant number, since it is smaller than the sum of its proper divisors (255280959336184).

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

221411707053056 is a wasteful number, since it uses less digits than its factorization.

221411707053056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352799 (or 1352781 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 44.

The spelling of 221411707053056 in words is "two hundred twenty-one trillion, four hundred eleven billion, seven hundred seven million, fifty-three thousand, fifty-six".