221152210413552 has 240 divisors, whose sum is σ = 676223738910720. Its totient is φ = 66912720153600.

The previous prime is 221152210413499. The next prime is 221152210413569. The reversal of 221152210413552 is 255314012251122.

221152210413552 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 52 + 2 + 10 + 41 + 3 + 552 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3826729777 + ... + 3826787567.

It is an arithmetic number, because the mean of its divisors is an integer number (2817598912128).

Almost surely, 2^{221152210413552} is an apocalyptic number.

221152210413552 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 221152210413552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338111869455360).

221152210413552 is an abundant number, since it is smaller than the sum of its proper divisors (455071528497168).

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

221152210413552 is a wasteful number, since it uses less digits than its factorization.

221152210413552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61492 (or 61483 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 221152210413552 its reverse (255314012251122), we get a palindrome (476466222664674).

The spelling of 221152210413552 in words is "two hundred twenty-one trillion, one hundred fifty-two billion, two hundred ten million, four hundred thirteen thousand, five hundred fifty-two".