24768148216 has 64 divisors (see below), whose sum is σ = 54414360000. Its totient is φ = 10347402240.

The previous prime is 24768148199. The next prime is 24768148241. The reversal of 24768148216 is 61284186742.

It is a happy number.

It is a super-2 number, since 2×24768148216² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 24768148216.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3277210 + ... + 3284758.

It is an arithmetic number, because the mean of its divisors is an integer number (850224375).

Almost surely, 2^24768148216 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 24768148216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27207180000).

24768148216 is an abundant number, since it is smaller than the sum of its proper divisors (29646211784).

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

24768148216 is a wasteful number, since it uses less digits than its factorization.

24768148216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9032 (or 9028 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 49.

The spelling of 24768148216 in words is "twenty-four billion, seven hundred sixty-eight million, one hundred forty-eight thousand, two hundred sixteen".