221344261632 has 640 divisors, whose sum is σ = 740472606720. Its totient is φ = 64815759360.

The previous prime is 221344261583. The next prime is 221344261637. The reversal of 221344261632 is 236162443122.

221344261632 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 4 + 4 + 2 + 616 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221344261637) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 373261528 + ... + 373262120.

It is an arithmetic number, because the mean of its divisors is an integer number (1156988448).

Almost surely, 2^221344261632 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 221344261632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370236303360).

221344261632 is an abundant number, since it is smaller than the sum of its proper divisors (519128345088).

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

221344261632 is a wasteful number, since it uses less digits than its factorization.

221344261632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 709 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 221344261632 in words is "two hundred twenty-one billion, three hundred forty-four million, two hundred sixty-one thousand, six hundred thirty-two".