505315236688416 has 1728 divisors, whose sum is σ = 1914295179847680. Its totient is φ = 129181462502400.

The previous prime is 505315236688397. The next prime is 505315236688433. The reversal of 505315236688416 is 614886632513505.

505315236688416 is a `hidden beast` number, since 5 + 0 + 5 + 3 + 1 + 523 + 6 + 68 + 8 + 41 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 386622215635 + ... + 386622216941.

It is an arithmetic number, because the mean of its divisors is an integer number (1107809710560).

Almost surely, 2^{505315236688416} is an apocalyptic number.

505315236688416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505315236688416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957147589923840).

505315236688416 is an abundant number, since it is smaller than the sum of its proper divisors (1408979943159264).

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

505315236688416 is a wasteful number, since it uses less digits than its factorization.

505315236688416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 63.

The spelling of 505315236688416 in words is "five hundred five trillion, three hundred fifteen billion, two hundred thirty-six million, six hundred eighty-eight thousand, four hundred sixteen".