221700458952 has 384 divisors, whose sum is σ = 743897606400. Its totient is φ = 58226688000.

The previous prime is 221700458929. The next prime is 221700458957. The reversal of 221700458952 is 259854007122.

221700458952 is a `hidden beast` number, since 2 + 2 + 17 + 0 + 0 + 4 + 589 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 221700458898 and 221700458907.

It is not an unprimeable number, because it can be changed into a prime (221700458957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 184595952 + ... + 184597152.

It is an arithmetic number, because the mean of its divisors is an integer number (1937233350).

Almost surely, 2^221700458952 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 221700458952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371948803200).

221700458952 is an abundant number, since it is smaller than the sum of its proper divisors (522197147448).

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

221700458952 is a wasteful number, since it uses less digits than its factorization.

221700458952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 221700458952 in words is "two hundred twenty-one billion, seven hundred million, four hundred fifty-eight thousand, nine hundred fifty-two".