264433141030050 has 384 divisors, whose sum is σ = 778599309312000. Its totient is φ = 65845578758400.

The previous prime is 264433141030031. The next prime is 264433141030111. The reversal of 264433141030050 is 50030141334462.

264433141030050 is a `hidden beast` number, since 2 + 6 + 4 + 4 + 331 + 4 + 10 + 300 + 5 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 264433141029987 and 264433141030014.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 1921139131 + ... + 1921276769.

It is an arithmetic number, because the mean of its divisors is an integer number (2027602368000).

Almost surely, 2^{264433141030050} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264433141030050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389299654656000).

264433141030050 is an abundant number, since it is smaller than the sum of its proper divisors (514166168281950).

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

264433141030050 is a wasteful number, since it uses less digits than its factorization.

264433141030050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139303 (or 139292 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 264433141030050 in words is "two hundred sixty-four trillion, four hundred thirty-three billion, one hundred forty-one million, thirty thousand, fifty".