34816552848 has 480 divisors, whose sum is σ = 126277632000. Its totient is φ = 8690457600.

The previous prime is 34816552843. The next prime is 34816552853. The reversal of 34816552848 is 84825561843.

34816552848 is a `hidden beast` number, since 3 + 4 + 8 + 1 + 6 + 552 + 84 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (34816552843) and next prime (34816552853).

It is a super-2 number, since 2×34816552848² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34816552794 and 34816552803.

It is not an unprimeable number, because it can be changed into a prime (34816552843) by changing a digit.

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, 68401618 + ... + 68402126.

It is an arithmetic number, because the mean of its divisors is an integer number (263078400).

Almost surely, 2^34816552848 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 34816552848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63138816000).

34816552848 is an abundant number, since it is smaller than the sum of its proper divisors (91461079152).

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

34816552848 is a wasteful number, since it uses less digits than its factorization.

34816552848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 762 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 54.

The spelling of 34816552848 in words is "thirty-four billion, eight hundred sixteen million, five hundred fifty-two thousand, eight hundred forty-eight".