3316716448000 has 144 divisors (see below), whose sum is σ = 8264454582384. Its totient is φ = 1326349516800.

The previous prime is 3316716447937. The next prime is 3316716448009. The reversal of 3316716448000 is 8446176133.

It can be written as a sum of positive squares in 8 ways, for example, as 2095638407424 + 1221078040576 = 1447632^2 + 1105024^2 .

It is a super-2 number, since 2×3316716448000² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3316716448009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154133242 + ... + 154154758.

It is an arithmetic number, because the mean of its divisors is an integer number (57392045711).

Almost surely, 2^{3316716448000} 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 3316716448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4132227291192).

3316716448000 is an abundant number, since it is smaller than the sum of its proper divisors (4947738134384).

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

3316716448000 is an equidigital number, since it uses as much as digits as its factorization.

3316716448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26365 (or 26341 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The spelling of 3316716448000 in words is "three trillion, three hundred sixteen billion, seven hundred sixteen million, four hundred forty-eight thousand".