2966885676225 has 81 divisors (see below), whose sum is σ = 5519424765673. Its totient is φ = 1581966974880.

The previous prime is 2966885676217. The next prime is 2966885676239. The reversal of 2966885676225 is 5226765886692.

It is a happy number.

The square root of 2966885676225 is 1722465.

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

2966885676225 is a `hidden beast` number, since 296 + 68 + 8 + 56 + 7 + 6 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 947462784129 + 2019422892096 = 973377^2 + 1421064^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 2966885676225 - 2³ = 2966885676217 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 697596199 + ... + 697600451.

Almost surely, 2^{2966885676225} is an apocalyptic number.

2966885676225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2966885676225 is the 1722465-th square number.

2966885676225 is the 861233-rd centered octagonal number.

It is an amenable number.

2966885676225 is a deficient number, since it is larger than the sum of its proper divisors (2552539089448).

2966885676225 is an frugal number, since it uses more digits than its factorization.

2966885676225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8540 (or 4261 counting only the distinct ones).

The product of its digits is 1045094400, while the sum is 72.

The spelling of 2966885676225 in words is "two trillion, nine hundred sixty-six billion, eight hundred eighty-five million, six hundred seventy-six thousand, two hundred twenty-five".