25643344334652 has 192 divisors, whose sum is σ = 74546606400000. Its totient is φ = 7554621634560.

The previous prime is 25643344334633. The next prime is 25643344334701.

It is a happy number.

25643344334652 is a `hidden beast` number, since 2 + 56 + 43 + 34 + 433 + 46 + 52 = 666.

25643344334652 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×25643344334652² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 54667503 + ... + 55134585.

It is an arithmetic number, because the mean of its divisors is an integer number (388263575000).

Almost surely, 2^{25643344334652} is an apocalyptic number.

25643344334652 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 25643344334652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37273303200000).

25643344334652 is an abundant number, since it is smaller than the sum of its proper divisors (48903262065348).

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

25643344334652 is a wasteful number, since it uses less digits than its factorization.

25643344334652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468393 (or 468385 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 54.

It can be divided in two parts, 2564334 and 4334652, that added together give a palindrome (6898986).

The spelling of 25643344334652 in words is "twenty-five trillion, six hundred forty-three billion, three hundred forty-four million, three hundred thirty-four thousand, six hundred fifty-two".