2825528688144 has 100 divisors (see below), whose sum is σ = 8208995441856. Its totient is φ = 938261631168.

The previous prime is 2825528688119. The next prime is 2825528688247. The reversal of 2825528688144 is 4418868255282.

2825528688144 is a `hidden beast` number, since 2 + 8 + 2 + 5 + 528 + 68 + 8 + 1 + 44 = 666.

It is a super-2 number, since 2×2825528688144² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3804004 + ... + 4485699.

Almost surely, 2^{2825528688144} is an apocalyptic number.

2825528688144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2825528688144 is an abundant number, since it is smaller than the sum of its proper divisors (5383466753712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2825528688144 is a wasteful number, since it uses less digits than its factorization.

2825528688144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8289986 (or 8289971 counting only the distinct ones).

The product of its digits is 78643200, while the sum is 63.

The spelling of 2825528688144 in words is "two trillion, eight hundred twenty-five billion, five hundred twenty-eight million, six hundred eighty-eight thousand, one hundred forty-four".