10723994112001 has 9 divisors (see below), whose sum is σ = 10979333379651. Its totient is φ = 10474461360552.

The previous prime is 10723994111911. The next prime is 10723994112031. The reversal of 10723994112001 is 10021149932701.

The square root of 10723994112001 is 3274751.

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., 1525657280625 + 9198336831376 = 1235175^2 + 3032876^2 .

It is not a de Polignac number, because 10723994112001 - 2¹⁷ = 10723993980929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10723994112031) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 140776215 + ... + 140852371.

Almost surely, 2^{10723994112001} is an apocalyptic number.

10723994112001 is the 3274751-st square number.

10723994112001 is the 1637376-th centered octagonal number.

It is an amenable number.

10723994112001 is a deficient number, since it is larger than the sum of its proper divisors (255339267650).

10723994112001 is an frugal number, since it uses more digits than its factorization.

10723994112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152400 (or 76200 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 40.

The spelling of 10723994112001 in words is "ten trillion, seven hundred twenty-three billion, nine hundred ninety-four million, one hundred twelve thousand, one".