221045024420352 has 240 divisors, whose sum is σ = 712131252120288. Its totient is φ = 65425587978240.

The previous prime is 221045024420329. The next prime is 221045024420377. The reversal of 221045024420352 is 253024420540122.

221045024420352 is a `hidden beast` number, since 2 + 2 + 1 + 0 + 45 + 0 + 244 + 20 + 352 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48528493 + ... + 52887660.

Almost surely, 2^{221045024420352} is an apocalyptic number.

221045024420352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

221045024420352 is an abundant number, since it is smaller than the sum of its proper divisors (491086227699936).

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

221045024420352 is a wasteful number, since it uses less digits than its factorization.

221045024420352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101416231 (or 101416212 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 221045024420352 its reverse (253024420540122), we get a palindrome (474069444960474).

The spelling of 221045024420352 in words is "two hundred twenty-one trillion, forty-five billion, twenty-four million, four hundred twenty thousand, three hundred fifty-two".