19375411866001 has 9 divisors (see below), whose sum is σ = 19477176760251. Its totient is φ = 19274175994752.

The previous prime is 19375411865963. The next prime is 19375411866011. The reversal of 19375411866001 is 10066811457391.

It is a happy number.

The square root of 19375411866001 is 4401751.

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., 4694437222225 + 14680974643776 = 2166665^2 + 3831576^2 .

It is not a de Polignac number, because 19375411866001 - 2³⁹ = 18825656052113 is a prime.

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 19375411866001.

It is not an unprimeable number, because it can be changed into a prime (19375411866011) 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, 849526540 + ... + 849549346.

It is an arithmetic number, because the mean of its divisors is an integer number (2164130751139).

Almost surely, 2^{19375411866001} is an apocalyptic number.

19375411866001 is the 4401751-st square number.

19375411866001 is the 2200876-th centered octagonal number.

It is an amenable number.

19375411866001 is a deficient number, since it is larger than the sum of its proper divisors (101764894250).

19375411866001 is an frugal number, since it uses more digits than its factorization.

19375411866001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46000 (or 23000 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 52.

The spelling of 19375411866001 in words is "nineteen trillion, three hundred seventy-five billion, four hundred eleven million, eight hundred sixty-six thousand, one".