274549202945472 has 448 divisors, whose sum is σ = 918946071680000. Its totient is φ = 70394978893824.

The previous prime is 274549202945389. The next prime is 274549202945519.

274549202945472 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×274549202945472² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 807263523 + ... + 807603549.

It is an arithmetic number, because the mean of its divisors is an integer number (2051218910000).

Almost surely, 2^{274549202945472} 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 274549202945472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459473035840000).

274549202945472 is an abundant number, since it is smaller than the sum of its proper divisors (644396868734528).

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

274549202945472 is a wasteful number, since it uses less digits than its factorization.

274549202945472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341348 (or 341338 counting only the distinct ones).

The product of its (nonzero) digits is 406425600, while the sum is 66.

The spelling of 274549202945472 in words is "two hundred seventy-four trillion, five hundred forty-nine billion, two hundred two million, nine hundred forty-five thousand, four hundred seventy-two".