2047763862001 has 27 divisors (see below), whose sum is σ = 2437552237323. Its totient is φ = 1718231520720.

The previous prime is 2047763861933. The next prime is 2047763862007. The reversal of 2047763862001 is 1002683677402.

The square root of 2047763862001 is 1431001.

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., 302923648225 + 1744840213776 = 550385^2 + 1320924^2 .

It is not a de Polignac number, because 2047763862001 - 2³⁷ = 1910324908529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2047763862007) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 204628140 + ... + 204638146.

Almost surely, 2^{2047763862001} is an apocalyptic number.

2047763862001 is the 1431001-st square number.

2047763862001 is the 715501-st centered octagonal number.

It is an amenable number.

2047763862001 is a deficient number, since it is larger than the sum of its proper divisors (389788375322).

2047763862001 is an frugal number, since it uses more digits than its factorization.

2047763862001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20062 (or 10031 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 46.

The spelling of 2047763862001 in words is "two trillion, forty-seven billion, seven hundred sixty-three million, eight hundred sixty-two thousand, one".