274944449472 has 224 divisors, whose sum is σ = 915944385024. Its totient is φ = 70706688000.

The previous prime is 274944449411. The next prime is 274944449491.

274944449472 is nontrivially palindromic in base 10.

274944449472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×274944449472² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1401118 + ... + 1585250.

Almost surely, 2^274944449472 is an apocalyptic number.

274944449472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 274944449472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457972192512).

274944449472 is an abundant number, since it is smaller than the sum of its proper divisors (640999935552).

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

274944449472 is a wasteful number, since it uses less digits than its factorization.

274944449472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184267 (or 184257 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 60.

The spelling of 274944449472 in words is "two hundred seventy-four billion, nine hundred forty-four million, four hundred forty-nine thousand, four hundred seventy-two".