504373948416 has 416 divisors, whose sum is σ = 1614811746240. Its totient is φ = 154651852800.

The previous prime is 504373948387. The next prime is 504373948417. The reversal of 504373948416 is 614849373405.

504373948416 is a `hidden beast` number, since 50 + 43 + 73 + 9 + 484 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (504373948417) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 662777476 + ... + 662778236.

Almost surely, 2^504373948416 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 504373948416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807405873120).

504373948416 is an abundant number, since it is smaller than the sum of its proper divisors (1110437797824).

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

504373948416 is a wasteful number, since it uses less digits than its factorization.

504373948416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 504373948416 in words is "five hundred four billion, three hundred seventy-three million, nine hundred forty-eight thousand, four hundred sixteen".