254867565768452 has 96 divisors (see below), whose sum is σ = 555944369971200. Its totient is φ = 99541457788032.

The previous prime is 254867565768449. The next prime is 254867565768493.

254867565768452 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322794383 + ... + 323582985.

It is an arithmetic number, because the mean of its divisors is an integer number (5791087187200).

Almost surely, 2^{254867565768452} 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 254867565768452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277972184985600).

254867565768452 is an abundant number, since it is smaller than the sum of its proper divisors (301076804202748).

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

254867565768452 is a wasteful number, since it uses less digits than its factorization.

254867565768452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799945 (or 799943 counting only the distinct ones).

The product of its digits is 27095040000, while the sum is 80.

The spelling of 254867565768452 in words is "two hundred fifty-four trillion, eight hundred sixty-seven billion, five hundred sixty-five million, seven hundred sixty-eight thousand, four hundred fifty-two".