24968483946 has 192 divisors, whose sum is σ = 67427942400. Its totient is φ = 6516288000.

The previous prime is 24968483909. The next prime is 24968483951. The reversal of 24968483946 is 64938486942.

24968483946 is a `hidden beast` number, since 2 + 4 + 9 + 68 + 483 + 94 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29759395 + ... + 29760233.

It is an arithmetic number, because the mean of its divisors is an integer number (351187200).

Almost surely, 2^24968483946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24968483946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33713971200).

24968483946 is an abundant number, since it is smaller than the sum of its proper divisors (42459458454).

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

24968483946 is a wasteful number, since it uses less digits than its factorization.

24968483946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1302 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 63.

The spelling of 24968483946 in words is "twenty-four billion, nine hundred sixty-eight million, four hundred eighty-three thousand, nine hundred forty-six".