25343144134352 has 80 divisors (see below), whose sum is σ = 54100001217600. Its totient is φ = 11404827648000.

The previous prime is 25343144134349. The next prime is 25343144134369.

25343144134352 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×25343144134352² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 357671024 + ... + 357741872.

It is an arithmetic number, because the mean of its divisors is an integer number (676250015220).

Almost surely, 2^{25343144134352} is an apocalyptic number.

25343144134352 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 25343144134352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27050000608800).

25343144134352 is an abundant number, since it is smaller than the sum of its proper divisors (28756857083248).

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

25343144134352 is a wasteful number, since it uses less digits than its factorization.

25343144134352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91092 (or 91086 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 44.

It can be divided in two parts, 2534314 and 4134352, that added together give a palindrome (6668666).

The spelling of 25343144134352 in words is "twenty-five trillion, three hundred forty-three billion, one hundred forty-four million, one hundred thirty-four thousand, three hundred fifty-two".