254446644452 has 192 divisors, whose sum is σ = 610254134784. Its totient is φ = 89618780160.

The previous prime is 254446644371. The next prime is 254446644457.

It is a happy number.

254446644452 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 254446644452.

It is not an unprimeable number, because it can be changed into a prime (254446644457) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 231947168 + ... + 231948264.

It is an arithmetic number, because the mean of its divisors is an integer number (3178406952).

Almost surely, 2^254446644452 is an apocalyptic number.

254446644452 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 254446644452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305127067392).

254446644452 is an abundant number, since it is smaller than the sum of its proper divisors (355807490332).

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

254446644452 is a wasteful number, since it uses less digits than its factorization.

254446644452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278 (or 2276 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 50.

It can be divided in two parts, 254446 and 644452, that added together give a palindrome (898898).

The spelling of 254446644452 in words is "two hundred fifty-four billion, four hundred forty-six million, six hundred forty-four thousand, four hundred fifty-two".