4287877176961 has 27 divisors (see below), whose sum is σ = 5298910740297. Its totient is φ = 3458929017600.

The previous prime is 4287877176953. The next prime is 4287877177019. The reversal of 4287877176961 is 1696717787824.

The square root of 4287877176961 is 2070719.

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

It can be written as a sum of positive squares in 4 ways, for example, as 603565841025 + 3684311335936 = 776895^2 + 1919456^2 .

It is not a de Polignac number, because 4287877176961 - 2³ = 4287877176953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4287877176161) 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, 246406861 + ... + 246424261.

Almost surely, 2^{4287877176961} is an apocalyptic number.

4287877176961 is the 2070719-th square number.

4287877176961 is the 1035360-th centered octagonal number.

It is an amenable number.

4287877176961 is a deficient number, since it is larger than the sum of its proper divisors (1011033563336).

4287877176961 is an frugal number, since it uses more digits than its factorization.

4287877176961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34850 (or 17425 counting only the distinct ones).

The product of its digits is 398297088, while the sum is 73.

The spelling of 4287877176961 in words is "four trillion, two hundred eighty-seven billion, eight hundred seventy-seven million, one hundred seventy-six thousand, nine hundred sixty-one".