1993224417856 has 189 divisors, whose sum is σ = 4890938494329. Its totient is φ = 803447543808.

The previous prime is 1993224417851. The next prime is 1993224417857. The reversal of 1993224417856 is 6587144223991.

The square root of 1993224417856 is 1411816.

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

It can be written as a sum of positive squares in only one way, i.e., 1551818318400 + 441406099456 = 1245720^2 + 664384^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1993224417794 and 1993224417803.

It is not an unprimeable number, because it can be changed into a prime (1993224417851) 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, 1344048091 + ... + 1344049573.

Almost surely, 2^{1993224417856} is an apocalyptic number.

1993224417856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1993224417856 is the 1411816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1993224417856

1993224417856 is an abundant number, since it is smaller than the sum of its proper divisors (2897714076473).

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

1993224417856 is an frugal number, since it uses more digits than its factorization.

1993224417856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3026 (or 1509 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 61.

The spelling of 1993224417856 in words is "one trillion, nine hundred ninety-three billion, two hundred twenty-four million, four hundred seventeen thousand, eight hundred fifty-six".