1868008296001 has 9 divisors (see below), whose sum is σ = 1885453580451. Its totient is φ = 1850722996104.

The previous prime is 1868008295983. The next prime is 1868008296019. The reversal of 1868008296001 is 1006928008681.

The square root of 1868008296001 is 1366751.

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

It is an interprime number because it is at equal distance from previous prime (1868008295983) and next prime (1868008296019).

It can be written as a sum of positive squares in only one way, i.e., 1301992820401 + 566015475600 = 1141049^2 + 752340^2 .

It is not a de Polignac number, because 1868008296001 - 2¹³ = 1868008287809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1868008296901) 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, 148969590 + ... + 148982128.

Almost surely, 2^{1868008296001} is an apocalyptic number.

1868008296001 is the 1366751-st square number.

1868008296001 is the 683376-th centered octagonal number.

It is an amenable number.

1868008296001 is a deficient number, since it is larger than the sum of its proper divisors (17445284450).

1868008296001 is an frugal number, since it uses more digits than its factorization.

1868008296001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25296 (or 12648 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 49.

Multiplying 1868008296001 by its sum of digits (49), we get a square (91532406504049 = 9567257²).

The spelling of 1868008296001 in words is "one trillion, eight hundred sixty-eight billion, eight million, two hundred ninety-six thousand, one".