221150440350 has 480 divisors, whose sum is σ = 713508618240. Its totient is φ = 49746493440.

The previous prime is 221150440331. The next prime is 221150440369. The reversal of 221150440350 is 53044051122.

221150440350 is a `hidden beast` number, since 2 + 21 + 150 + 440 + 3 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (221150440331) and next prime (221150440369).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 860507422 + ... + 860507678.

It is an arithmetic number, because the mean of its divisors is an integer number (1486476288).

Almost surely, 2^221150440350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221150440350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356754309120).

221150440350 is an abundant number, since it is smaller than the sum of its proper divisors (492358177890).

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

221150440350 is a wasteful number, since it uses less digits than its factorization.

221150440350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 221150440350 its reverse (53044051122), we get a palindrome (274194491472).

The spelling of 221150440350 in words is "two hundred twenty-one billion, one hundred fifty million, four hundred forty thousand, three hundred fifty".