504561628718112 has 288 divisors, whose sum is σ = 1590790664784384. Its totient is φ = 139477214822400.

The previous prime is 504561628718107. The next prime is 504561628718123. The reversal of 504561628718112 is 211817826165405.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 620950048 + ... + 621762080.

It is an arithmetic number, because the mean of its divisors is an integer number (5523578697168).

Almost surely, 2^{504561628718112} 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 504561628718112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795395332392192).

504561628718112 is an abundant number, since it is smaller than the sum of its proper divisors (1086229036066272).

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

504561628718112 is a wasteful number, since it uses less digits than its factorization.

504561628718112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816352 (or 816337 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 57.

The spelling of 504561628718112 in words is "five hundred four trillion, five hundred sixty-one billion, six hundred twenty-eight million, seven hundred eighteen thousand, one hundred twelve".