254413121314452 has 96 divisors (see below), whose sum is σ = 642013865700480. Its totient is φ = 78139030233600.

The previous prime is 254413121314393. The next prime is 254413121314453.

254413121314452 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254413121314453) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15673702 + ... + 27468002.

It is an arithmetic number, because the mean of its divisors is an integer number (6687644434380).

Almost surely, 2^{254413121314452} 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 254413121314452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321006932850240).

254413121314452 is an abundant number, since it is smaller than the sum of its proper divisors (387600744386028).

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

254413121314452 is a wasteful number, since it uses less digits than its factorization.

254413121314452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11796921 (or 11796919 counting only the distinct ones).

The product of its digits is 460800, while the sum is 42.

The spelling of 254413121314452 in words is "two hundred fifty-four trillion, four hundred thirteen billion, one hundred twenty-one million, three hundred fourteen thousand, four hundred fifty-two".