25343345664 has 528 divisors, whose sum is σ = 94089945600. Its totient is φ = 6679314432.

The previous prime is 25343345641. The next prime is 25343345683. The reversal of 25343345664 is 46654334352.

25343345664 is a `hidden beast` number, since 2 + 53 + 4 + 3 + 34 + 566 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17611057 + ... + 17612495.

Almost surely, 2^25343345664 is an apocalyptic number.

25343345664 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 25343345664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47044972800).

25343345664 is an abundant number, since it is smaller than the sum of its proper divisors (68746599936).

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

25343345664 is a wasteful number, since it uses less digits than its factorization.

25343345664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1464 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 45.

The spelling of 25343345664 in words is "twenty-five billion, three hundred forty-three million, three hundred forty-five thousand, six hundred sixty-four".