8402946048 has 384 divisors, whose sum is σ = 30144441600. Its totient is φ = 2257846272.

The previous prime is 8402946047. The next prime is 8402946053. The reversal of 8402946048 is 8406492048.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 8402945994 and 8402946012.

It is not an unprimeable number, because it can be changed into a prime (8402946047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6579586 + ... + 6580862.

It is an arithmetic number, because the mean of its divisors is an integer number (78501150).

Almost surely, 2^8402946048 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 8402946048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15072220800).

8402946048 is an abundant number, since it is smaller than the sum of its proper divisors (21741495552).

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

8402946048 is a wasteful number, since it uses less digits than its factorization.

8402946048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 8402946048 is about 91667.5844996474. The cubic root of 8402946048 is about 2033.0303328728.

The spelling of 8402946048 in words is "eight billion, four hundred two million, nine hundred forty-six thousand, forty-eight".