274310013472 has 96 divisors (see below), whose sum is σ = 608878093824. Its totient is φ = 120519321600.

The previous prime is 274310013457. The next prime is 274310013493.

274310013472 is nontrivially palindromic in base 10.

274310013472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 9336918 + ... + 9366250.

It is an arithmetic number, because the mean of its divisors is an integer number (6342480144).

Almost surely, 2^274310013472 is an apocalyptic number.

274310013472 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 274310013472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304439046912).

274310013472 is an abundant number, since it is smaller than the sum of its proper divisors (334568080352).

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

274310013472 is a wasteful number, since it uses less digits than its factorization.

274310013472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30242 (or 30234 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

It can be divided in two parts, 2743100 and 13472, that added together give a palindrome (2756572).

The spelling of 274310013472 in words is "two hundred seventy-four billion, three hundred ten million, thirteen thousand, four hundred seventy-two".