221630424610464 has 192 divisors, whose sum is σ = 648184384512000. Its totient is φ = 73675608410880.

The previous prime is 221630424610457. The next prime is 221630424610487. The reversal of 221630424610464 is 464016424036122.

221630424610464 is a `hidden beast` number, since 2 + 2 + 1 + 6 + 3 + 0 + 4 + 24 + 610 + 4 + 6 + 4 = 666.

221630424610464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×221630424610464² (a number of 29 digits) contains 22 as substring.

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, 618763777 + ... + 619121855.

It is an arithmetic number, because the mean of its divisors is an integer number (3375960336000).

Almost surely, 2^{221630424610464} is an apocalyptic number.

221630424610464 is a gapful number since it is divisible by the number (24) 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 221630424610464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324092192256000).

221630424610464 is an abundant number, since it is smaller than the sum of its proper divisors (426553959901536).

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

221630424610464 is a wasteful number, since it uses less digits than its factorization.

221630424610464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360048 (or 360034 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

Adding to 221630424610464 its reverse (464016424036122), we get a palindrome (685646848646586).

The spelling of 221630424610464 in words is "two hundred twenty-one trillion, six hundred thirty billion, four hundred twenty-four million, six hundred ten thousand, four hundred sixty-four".