1974317250816 has 243 divisors, whose sum is σ = 5785918871187. Its totient is φ = 647471923200.

The previous prime is 1974317250811. The next prime is 1974317250817. The reversal of 1974317250816 is 6180527134791.

The square root of 1974317250816 is 1405104.

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

1974317250816 is a `hidden beast` number, since 1 + 9 + 74 + 317 + 250 + 8 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 923905440000 + 1050411810816 = 961200^2 + 1024896^2 .

It is not an unprimeable number, because it can be changed into a prime (1974317250811) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4923484216 + ... + 4923484616.

It is a 1-persistent number, because it is pandigital, but 2⋅1974317250816 = 3948634501632 is not.

Almost surely, 2^{1974317250816} is an apocalyptic number.

1974317250816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1974317250816 is the 1405104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1974317250816

1974317250816 is an abundant number, since it is smaller than the sum of its proper divisors (3811601620371).

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

1974317250816 is an frugal number, since it uses more digits than its factorization.

1974317250816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 1974317250816 in words is "one trillion, nine hundred seventy-four billion, three hundred seventeen million, two hundred fifty thousand, eight hundred sixteen".