24994661408 has 96 divisors (see below), whose sum is σ = 51075441648. Its totient is φ = 12032409600.

The previous prime is 24994661399. The next prime is 24994661437. The reversal of 24994661408 is 80416649942.

It is a Cunningham number, because it is equal to 158097²-1.

It can be written as a sum of positive squares in 8 ways, for example, as 18379767184 + 6614894224 = 135572^2 + 81332^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 24994661408.

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 15 ways as a sum of consecutive naturals, for example, 43318016 + ... + 43318592.

Almost surely, 2^24994661408 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 24994661408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25537720824).

24994661408 is an abundant number, since it is smaller than the sum of its proper divisors (26080780240).

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

24994661408 is a wasteful number, since it uses less digits than its factorization.

With its successor (24994661409) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (1006).

24994661408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 53.

The spelling of 24994661408 in words is "twenty-four billion, nine hundred ninety-four million, six hundred sixty-one thousand, four hundred eight".