2854643405761 has 75 divisors (see below), whose sum is σ = 3535332968543. Its totient is φ = 2304842447040.

The previous prime is 2854643405707. The next prime is 2854643405771. The reversal of 2854643405761 is 1675043464582.

The square root of 2854643405761 is 1689569.

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

It can be written as a sum of positive squares in 7 ways, for example, as 2651422765761 + 203220640000 = 1628319^2 + 450800^2 .

It is not a de Polignac number, because 2854643405761 - 2¹⁵ = 2854643372993 is a prime.

It is a super-2 number, since 2×2854643405761² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2854643405701) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 69625448901 + ... + 69625448941.

Almost surely, 2^{2854643405761} is an apocalyptic number.

2854643405761 is the 1689569-th square number.

2854643405761 is the 844785-th centered octagonal number.

It is an amenable number.

2854643405761 is a deficient number, since it is larger than the sum of its proper divisors (680689562782).

2854643405761 is an frugal number, since it uses more digits than its factorization.

2854643405761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 55.

The spelling of 2854643405761 in words is "two trillion, eight hundred fifty-four billion, six hundred forty-three million, four hundred five thousand, seven hundred sixty-one".