1999393172001 has 45 divisors (see below), whose sum is σ = 3152599873731. Its totient is φ = 1262621923056.

The previous prime is 1999393171927. The next prime is 1999393172009. The reversal of 1999393172001 is 1002713939991.

The square root of 1999393172001 is 1413999.

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

1999393172001 is a `hidden beast` number, since 1 + 9 + 99 + 39 + 317 + 200 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1839281152401 + 160112019600 = 1356201^2 + 400140^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1999393172001 is a prime.

It is a super-3 number, since 3×1999393172001³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1999393172009) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 241789695 + ... + 241797963.

Almost surely, 2^{1999393172001} is an apocalyptic number.

1999393172001 is the 1413999-th square number.

1999393172001 is the 707000-th centered octagonal number.

It is an amenable number.

1999393172001 is a deficient number, since it is larger than the sum of its proper divisors (1153206701730).

1999393172001 is an frugal number, since it uses more digits than its factorization.

1999393172001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16588 (or 8291 counting only the distinct ones).

The product of its (nonzero) digits is 826686, while the sum is 54.

The spelling of 1999393172001 in words is "one trillion, nine hundred ninety-nine billion, three hundred ninety-three million, one hundred seventy-two thousand, one".