1231993442304 has 585 divisors, whose sum is σ = 3854243359021. Its totient is φ = 392123842560.

The previous prime is 1231993442287. The next prime is 1231993442311. The reversal of 1231993442304 is 4032443991321.

The square root of 1231993442304 is 1109952.

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

1231993442304 is a `hidden beast` number, since 1 + 2 + 3 + 199 + 34 + 423 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 59364347904 + 1172629094400 = 243648^2 + 1082880^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1231993442304.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 26212626409 + ... + 26212626455.

Almost surely, 2^{1231993442304} is an apocalyptic number.

1231993442304 is the 1109952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1231993442304

1231993442304 is an abundant number, since it is smaller than the sum of its proper divisors (2622249916717).

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

1231993442304 is an frugal number, since it uses more digits than its factorization.

1231993442304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 1231993442304 in words is "one trillion, two hundred thirty-one billion, nine hundred ninety-three million, four hundred forty-two thousand, three hundred four".