1048806566496 has 480 divisors, whose sum is σ = 3372592785408. Its totient is φ = 317811133440.

The previous prime is 1048806566417. The next prime is 1048806566539. The reversal of 1048806566496 is 6946656088401.

1048806566496 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 80 + 6 + 5 + 66 + 496 = 666.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 688644391 + ... + 688645913.

Almost surely, 2^{1048806566496} is an apocalyptic number.

1048806566496 is a gapful number since it is divisible by the number (16) 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 1048806566496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686296392704).

1048806566496 is an abundant number, since it is smaller than the sum of its proper divisors (2323786218912).

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

1048806566496 is a wasteful number, since it uses less digits than its factorization.

1048806566496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 1048806566496 in words is "one trillion, forty-eight billion, eight hundred six million, five hundred sixty-six thousand, four hundred ninety-six".