254113686311452 has 144 divisors (see below), whose sum is σ = 516312622080640. Its totient is φ = 109047494160000.

The previous prime is 254113686311417. The next prime is 254113686311501.

254113686311452 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×254113686311452² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 254113686311452.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25665451702 + ... + 25665461602.

Almost surely, 2^{254113686311452} is an apocalyptic number.

254113686311452 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

254113686311452 is an abundant number, since it is smaller than the sum of its proper divisors (262198935769188).

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

254113686311452 is a wasteful number, since it uses less digits than its factorization.

254113686311452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19344 (or 19331 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 52.

It can be divided in two parts, 25411 and 3686311452, that added together give a palindrome (3686336863).

The spelling of 254113686311452 in words is "two hundred fifty-four trillion, one hundred thirteen billion, six hundred eighty-six million, three hundred eleven thousand, four hundred fifty-two".