8848416400 has 30 divisors (see below), whose sum is σ = 21258321362. Its totient is φ = 3539366400.

The previous prime is 8848416391. The next prime is 8848416407. The reversal of 8848416400 is 46148488.

It can be written as a sum of positive squares in 3 ways, for example, as 360848016 + 8487568384 = 18996^2 + 92128^2 .

It is not an unprimeable number, because it can be changed into a prime (8848416407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11060121 + ... + 11060920.

Almost surely, 2^8848416400 is an apocalyptic number.

8848416400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8848416400 is an abundant number, since it is smaller than the sum of its proper divisors (12409904962).

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

8848416400 is a wasteful number, since it uses less digits than its factorization.

8848416400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22121059 (or 22121048 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 43.

The square root of 8848416400 is about 94066.0214955432. The cubic root of 8848416400 is about 2068.3396177600.

The spelling of 8848416400 in words is "eight billion, eight hundred forty-eight million, four hundred sixteen thousand, four hundred".