508628252458368 has 2048 divisors, whose sum is σ = 1890822979584000. Its totient is φ = 131429280153600.

The previous prime is 508628252458349. The next prime is 508628252458409. The reversal of 508628252458368 is 863854252826805.

It is a happy number.

508628252458368 is a `hidden beast` number, since 5 + 0 + 8 + 6 + 2 + 8 + 252 + 4 + 5 + 8 + 368 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 508628252458296 and 508628252458305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 165192675453 + ... + 165192678531.

It is an arithmetic number, because the mean of its divisors is an integer number (923253408000).

Almost surely, 2^{508628252458368} 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 508628252458368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945411489792000).

508628252458368 is an abundant number, since it is smaller than the sum of its proper divisors (1382194727125632).

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

508628252458368 is a wasteful number, since it uses less digits than its factorization.

508628252458368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3381 (or 3363 counting only the distinct ones).

The product of its (nonzero) digits is 1769472000, while the sum is 72.

The spelling of 508628252458368 in words is "five hundred eight trillion, six hundred twenty-eight billion, two hundred fifty-two million, four hundred fifty-eight thousand, three hundred sixty-eight".