25342326144 has 128 divisors (see below), whose sum is σ = 75719292000. Its totient is φ = 8447348736.

The previous prime is 25342326073. The next prime is 25342326167. The reversal of 25342326144 is 44162324352.

25342326144 is a `hidden beast` number, since 2 + 5 + 3 + 4 + 2 + 32 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 25342326099 and 25342326108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234672 + ... + 325200.

Almost surely, 2^25342326144 is an apocalyptic number.

25342326144 is a gapful number since it is divisible by the number (24) 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 25342326144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37859646000).

25342326144 is an abundant number, since it is smaller than the sum of its proper divisors (50376965856).

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

25342326144 is an frugal number, since it uses more digits than its factorization.

25342326144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90564 (or 90534 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The spelling of 25342326144 in words is "twenty-five billion, three hundred forty-two million, three hundred twenty-six thousand, one hundred forty-four".