25343344334352 has 160 divisors (see below), whose sum is σ = 74112102236160. Its totient is φ = 7393153536000.

The previous prime is 25343344334351. The next prime is 25343344334381.

It is a happy number.

25343344334352 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (25343344334351) 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, 926977 + ... + 7179552.

It is an arithmetic number, because the mean of its divisors is an integer number (463200638976).

Almost surely, 2^{25343344334352} is an apocalyptic number.

25343344334352 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 25343344334352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37056051118080).

25343344334352 is an abundant number, since it is smaller than the sum of its proper divisors (48768757901808).

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

25343344334352 is a wasteful number, since it uses less digits than its factorization.

25343344334352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8106773 (or 8106767 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 48.

It can be divided in two parts, 2534334 and 4334352, that added together give a palindrome (6868686).

The spelling of 25343344334352 in words is "twenty-five trillion, three hundred forty-three billion, three hundred forty-four million, three hundred thirty-four thousand, three hundred fifty-two".