496228612618368 has 480 divisors, whose sum is σ = 1717985876858460. Its totient is φ = 141770316054528.

The previous prime is 496228612618327. The next prime is 496228612618399. The reversal of 496228612618368 is 863816216822694.

496228612618368 is a `hidden beast` number, since 4 + 9 + 6 + 2 + 286 + 1 + 261 + 83 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 487603771389504 + 8624841228864 = 22081752^2 + 2936808^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 496228612618296 and 496228612618305.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12778509480 + ... + 12778548312.

Almost surely, 2^{496228612618368} is an apocalyptic number.

496228612618368 is a gapful number since it is divisible by the number (48) 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 496228612618368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858992938429230).

496228612618368 is an abundant number, since it is smaller than the sum of its proper divisors (1221757264240092).

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

496228612618368 is a wasteful number, since it uses less digits than its factorization.

496228612618368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64026 (or 63998 counting only the distinct ones).

The product of its digits is 573308928, while the sum is 72.

The spelling of 496228612618368 in words is "four hundred ninety-six trillion, two hundred twenty-eight billion, six hundred twelve million, six hundred eighteen thousand, three hundred sixty-eight".