25443633634452 has 192 divisors, whose sum is σ = 73501256908800. Its totient is φ = 7545286719360.

The previous prime is 25443633634451. The next prime is 25443633634541.

It is a happy number.

25443633634452 is a `hidden beast` number, since 2 + 544 + 3 + 6 + 3 + 3 + 6 + 3 + 44 + 52 = 666.

25443633634452 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×25443633634452² (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 not an unprimeable number, because it can be changed into a prime (25443633634451) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 626068749 + ... + 626109387.

It is an arithmetic number, because the mean of its divisors is an integer number (382819046400).

Almost surely, 2^{25443633634452} is an apocalyptic number.

25443633634452 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 25443633634452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36750628454400).

25443633634452 is an abundant number, since it is smaller than the sum of its proper divisors (48057623274348).

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

25443633634452 is a wasteful number, since it uses less digits than its factorization.

25443633634452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51923 (or 51915 counting only the distinct ones).

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

The spelling of 25443633634452 in words is "twenty-five trillion, four hundred forty-three billion, six hundred thirty-three million, six hundred thirty-four thousand, four hundred fifty-two".