221672504433632 has 192 divisors, whose sum is σ = 519838984175616. Its totient is φ = 91050023393280.

The previous prime is 221672504433617. The next prime is 221672504433703. The reversal of 221672504433632 is 236334405276122.

It is a super-2 number, since 2×221672504433632² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 490985978 + ... + 491437254.

It is an arithmetic number, because the mean of its divisors is an integer number (2707494709248).

Almost surely, 2^{221672504433632} 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 221672504433632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259919492087808).

221672504433632 is an abundant number, since it is smaller than the sum of its proper divisors (298166479741984).

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

221672504433632 is a wasteful number, since it uses less digits than its factorization.

221672504433632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452009 (or 452001 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 50.

The spelling of 221672504433632 in words is "two hundred twenty-one trillion, six hundred seventy-two billion, five hundred four million, four hundred thirty-three thousand, six hundred thirty-two".