1601783859456 has 1215 divisors, whose sum is σ = 5698070863177. Its totient is φ = 447116820480.

The previous prime is 1601783859437. The next prime is 1601783859499. The reversal of 1601783859456 is 6549583871061.

The square root of 1601783859456 is 1265616.

It is a perfect power (a square), and thus also a powerful number.

1601783859456 is a `hidden beast` number, since 1 + 6 + 0 + 1 + 7 + 8 + 38 + 594 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1247063558400 + 354720301056 = 1116720^2 + 595584^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1601783859393 and 1601783859402.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 34080507625 + ... + 34080507671.

Almost surely, 2^{1601783859456} is an apocalyptic number.

1601783859456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1601783859456 is the 1265616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1601783859456

1601783859456 is an abundant number, since it is smaller than the sum of its proper divisors (4096287003721).

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

1601783859456 is an equidigital number, since it uses as much as digits as its factorization.

1601783859456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 1601783859456 in words is "one trillion, six hundred one billion, seven hundred eighty-three million, eight hundred fifty-nine thousand, four hundred fifty-six".