221264022965832 has 384 divisors, whose sum is σ = 791129406412800. Its totient is φ = 54086716569600.

The previous prime is 221264022965827. The next prime is 221264022965873. The reversal of 221264022965832 is 238569220462122.

221264022965832 is a `hidden beast` number, since 2 + 2 + 12 + 6 + 40 + 2 + 2 + 9 + 6 + 583 + 2 = 666.

221264022965832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1482540669 + ... + 1482689907.

It is an arithmetic number, because the mean of its divisors is an integer number (2060232829200).

Almost surely, 2^{221264022965832} is an apocalyptic number.

221264022965832 is a gapful number since it is divisible by the number (22) 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 221264022965832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395564703206400).

221264022965832 is an abundant number, since it is smaller than the sum of its proper divisors (569865383446968).

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

221264022965832 is a wasteful number, since it uses less digits than its factorization.

221264022965832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165017 (or 165010 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 221264022965832 in words is "two hundred twenty-one trillion, two hundred sixty-four billion, twenty-two million, nine hundred sixty-five thousand, eight hundred thirty-two".