221524240007364 has 192 divisors, whose sum is σ = 646154963435520. Its totient is φ = 57603483279360.

The previous prime is 221524240007359. The next prime is 221524240007387. The reversal of 221524240007364 is 463700042425122.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55486467 + ... + 59344725.

It is an arithmetic number, because the mean of its divisors is an integer number (3365390434560).

Almost surely, 2^{221524240007364} 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 221524240007364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323077481717760).

221524240007364 is an abundant number, since it is smaller than the sum of its proper divisors (424630723428156).

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

221524240007364 is a wasteful number, since it uses less digits than its factorization.

221524240007364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3859618 (or 3859616 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 42.

The spelling of 221524240007364 in words is "two hundred twenty-one trillion, five hundred twenty-four billion, two hundred forty million, seven thousand, three hundred sixty-four".