1993512438724 has 81 divisors (see below), whose sum is σ = 3746255964199. Its totient is φ = 928025463040.

The previous prime is 1993512438703. The next prime is 1993512438751. The reversal of 1993512438724 is 4278342153991.

The square root of 1993512438724 is 1411918.

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

It can be written as a sum of positive squares in 4 ways, for example, as 123073269124 + 1870439169600 = 350818^2 + 1367640^2 .

It is a super-3 number, since 3×1993512438724³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 6288682614 + ... + 6288682930.

Almost surely, 2^{1993512438724} is an apocalyptic number.

1993512438724 is the 1411918-th square number.

It is an amenable number.

1993512438724 is a deficient number, since it is larger than the sum of its proper divisors (1752743525475).

1993512438724 is an equidigital number, since it uses as much as digits as its factorization.

1993512438724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 467 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 58.

The spelling of 1993512438724 in words is "one trillion, nine hundred ninety-three billion, five hundred twelve million, four hundred thirty-eight thousand, seven hundred twenty-four".