503429093664 has 288 divisors, whose sum is σ = 1577158926336. Its totient is φ = 140131514880.

The previous prime is 503429093659. The next prime is 503429093681. The reversal of 503429093664 is 466390924305.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49297519 + ... + 49307729.

It is an arithmetic number, because the mean of its divisors is an integer number (5476246272).

Almost surely, 2^503429093664 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 503429093664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788579463168).

503429093664 is an abundant number, since it is smaller than the sum of its proper divisors (1073729832672).

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

503429093664 is a wasteful number, since it uses less digits than its factorization.

503429093664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10508 (or 10493 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 51.

The spelling of 503429093664 in words is "five hundred three billion, four hundred twenty-nine million, ninety-three thousand, six hundred sixty-four".