503945342208 has 1152 divisors, whose sum is σ = 1932131389440. Its totient is φ = 125769646080.

The previous prime is 503945342189. The next prime is 503945342239. The reversal of 503945342208 is 802243549305.

503945342208 is a `hidden beast` number, since 5 + 0 + 3 + 94 + 534 + 2 + 20 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3091689135 + ... + 3091689297.

Almost surely, 2^503945342208 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 503945342208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966065694720).

503945342208 is an abundant number, since it is smaller than the sum of its proper divisors (1428186047232).

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

503945342208 is a wasteful number, since it uses less digits than its factorization.

503945342208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 503945342208 in words is "five hundred three billion, nine hundred forty-five million, three hundred forty-two thousand, two hundred eight".