221954974560 has 576 divisors, whose sum is σ = 847214484480. Its totient is φ = 52461527040.

The previous prime is 221954974543. The next prime is 221954974561. The reversal of 221954974560 is 65479459122.

It is a happy number.

221954974560 is a `hidden beast` number, since 2 + 2 + 1 + 9 + 5 + 4 + 9 + 74 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 221954974497 and 221954974506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221954974561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103861812 + ... + 103863948.

It is an arithmetic number, because the mean of its divisors is an integer number (1470858480).

Almost surely, 2^221954974560 is an apocalyptic number.

221954974560 is a gapful number since it is divisible by the number (20) 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 221954974560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423607242240).

221954974560 is an abundant number, since it is smaller than the sum of its proper divisors (625259509920).

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

221954974560 is a wasteful number, since it uses less digits than its factorization.

221954974560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 221954974560 in words is "two hundred twenty-one billion, nine hundred fifty-four million, nine hundred seventy-four thousand, five hundred sixty".