254868868452 has 192 divisors, whose sum is σ = 672748167168. Its totient is φ = 74421504000.

The previous prime is 254868868447. The next prime is 254868868481.

254868868452 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 262480327 + ... + 262481297.

It is an arithmetic number, because the mean of its divisors is an integer number (3503896704).

Almost surely, 2^254868868452 is an apocalyptic number.

254868868452 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 254868868452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336374083584).

254868868452 is an abundant number, since it is smaller than the sum of its proper divisors (417879298716).

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

254868868452 is a wasteful number, since it uses less digits than its factorization.

254868868452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1488 counting only the distinct ones).

The product of its digits is 235929600, while the sum is 66.

The spelling of 254868868452 in words is "two hundred fifty-four billion, eight hundred sixty-eight million, eight hundred sixty-eight thousand, four hundred fifty-two".