25446440448 has 720 divisors, whose sum is σ = 91429241904. Its totient is φ = 6715146240.

The previous prime is 25446440443. The next prime is 25446440549. The reversal of 25446440448 is 84404464452.

25446440448 is a `hidden beast` number, since 2 + 544 + 64 + 4 + 0 + 4 + 48 = 666.

It is a super-2 number, since 2×25446440448² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25446440443) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 348581340 + ... + 348581412.

Almost surely, 2^25446440448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25446440448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45714620952).

25446440448 is an abundant number, since it is smaller than the sum of its proper divisors (65982801456).

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

25446440448 is a wasteful number, since it uses less digits than its factorization.

25446440448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 45.

It can be divided in two parts, 254464404 and 48, that added together give a palindrome (254464452).

The spelling of 25446440448 in words is "twenty-five billion, four hundred forty-six million, four hundred forty thousand, four hundred forty-eight".