274739606937472 has 128 divisors (see below), whose sum is σ = 568225511985600. Its totient is φ = 132160274104320.

The previous prime is 274739606937463. The next prime is 274739606937581.

274739606937472 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×274739606937472² (a number of 30 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 (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2945243472 + ... + 2945336752.

Almost surely, 2^{274739606937472} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 274739606937472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284112755992800).

274739606937472 is an abundant number, since it is smaller than the sum of its proper divisors (293485905048128).

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

274739606937472 is a wasteful number, since it uses less digits than its factorization.

274739606937472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96144 (or 96132 counting only the distinct ones).

The product of its (nonzero) digits is 4032758016, while the sum is 76.

The spelling of 274739606937472 in words is "two hundred seventy-four trillion, seven hundred thirty-nine billion, six hundred six million, nine hundred thirty-seven thousand, four hundred seventy-two".