2825384468544 has 189 divisors, whose sum is σ = 8903005251231. Its totient is φ = 856042640640.

The previous prime is 2825384468527. The next prime is 2825384468617. The reversal of 2825384468544 is 4458644835282.

The square root of 2825384468544 is 1680888.

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

2825384468544 is a `hidden beast` number, since 2 + 8 + 2 + 5 + 3 + 84 + 4 + 6 + 8 + 544 = 666.

It is a super-2 number, since 2×2825384468544² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 443751249 + ... + 443757615.

Almost surely, 2^{2825384468544} is an apocalyptic number.

2825384468544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2825384468544 is the 1680888-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2825384468544

2825384468544 is an abundant number, since it is smaller than the sum of its proper divisors (6077620782687).

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

2825384468544 is an frugal number, since it uses more digits than its factorization.

2825384468544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12774 (or 6383 counting only the distinct ones).

The product of its digits is 235929600, while the sum is 63.

The spelling of 2825384468544 in words is "two trillion, eight hundred twenty-five billion, three hundred eighty-four million, four hundred sixty-eight thousand, five hundred forty-four".