221534566503030 has 384 divisors, whose sum is σ = 653332682096640. Its totient is φ = 51614924544000.

The previous prime is 221534566503013. The next prime is 221534566503037. The reversal of 221534566503030 is 30305665435122.

221534566503030 is a `hidden beast` number, since 2 + 2 + 1 + 5 + 3 + 4 + 566 + 50 + 3 + 0 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221534566503037) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 798388356 + ... + 798665784.

It is an arithmetic number, because the mean of its divisors is an integer number (1701387192960).

Almost surely, 2^{221534566503030} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221534566503030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326666341048320).

221534566503030 is an abundant number, since it is smaller than the sum of its proper divisors (431798115593610).

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

221534566503030 is a wasteful number, since it uses less digits than its factorization.

221534566503030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277788 (or 277785 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 45.

The spelling of 221534566503030 in words is "two hundred twenty-one trillion, five hundred thirty-four billion, five hundred sixty-six million, five hundred three thousand, thirty".