496166282480448 has 336 divisors, whose sum is σ = 1500511936435200. Its totient is φ = 156319258752000.

The previous prime is 496166282480447. The next prime is 496166282480461. The reversal of 496166282480448 is 844084282661694.

496166282480448 is a `hidden beast` number, since 4 + 9 + 6 + 1 + 6 + 62 + 82 + 48 + 0 + 448 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496166282480447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8375074315 + ... + 8375133557.

Almost surely, 2^{496166282480448} is an apocalyptic number.

496166282480448 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 496166282480448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750255968217600).

496166282480448 is an abundant number, since it is smaller than the sum of its proper divisors (1004345653954752).

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

496166282480448 is a wasteful number, since it uses less digits than its factorization.

496166282480448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61050 (or 61037 counting only the distinct ones).

The product of its (nonzero) digits is 1019215872, while the sum is 72.

The spelling of 496166282480448 in words is "four hundred ninety-six trillion, one hundred sixty-six billion, two hundred eighty-two million, four hundred eighty thousand, four hundred forty-eight".