504844606350 has 648 divisors, whose sum is σ = 1688272021800. Its totient is φ = 107816970240.

The previous prime is 504844606327. The next prime is 504844606391. The reversal of 504844606350 is 53606448405.

504844606350 is a `hidden beast` number, since 5 + 0 + 4 + 8 + 4 + 4 + 6 + 0 + 635 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 504844606296 and 504844606305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 1446545976 + ... + 1446546324.

Almost surely, 2^504844606350 is an apocalyptic number.

504844606350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 504844606350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844136010900).

504844606350 is an abundant number, since it is smaller than the sum of its proper divisors (1183427415450).

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

504844606350 is a wasteful number, since it uses less digits than its factorization.

504844606350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 504844606350 in words is "five hundred four billion, eight hundred forty-four million, six hundred six thousand, three hundred fifty".