848400001008 has 320 divisors, whose sum is σ = 2729333882880. Its totient is φ = 221609779200.

The previous prime is 848400000967. The next prime is 848400001037. The reversal of 848400001008 is 800100004848.

It is a self number, because there is not a number n which added to its sum of digits gives 848400001008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72624928 + ... + 72636608.

It is an arithmetic number, because the mean of its divisors is an integer number (8529168384).

Almost surely, 2^848400001008 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 848400001008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364666941440).

848400001008 is an abundant number, since it is smaller than the sum of its proper divisors (1880933881872).

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

848400001008 is a wasteful number, since it uses less digits than its factorization.

848400001008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12116 (or 12110 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The spelling of 848400001008 in words is "eight hundred forty-eight billion, four hundred million, one thousand, eight".