3218334145488 has 1280 divisors, whose sum is σ = 12602073415680. Its totient is φ = 760828723200.

The previous prime is 3218334145487. The next prime is 3218334145513. The reversal of 3218334145488 is 8845414338123.

3218334145488 is a `hidden beast` number, since 3 + 2 + 1 + 83 + 3 + 4 + 14 + 548 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3218334145487) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2944495470 + ... + 2944496562.

It is an arithmetic number, because the mean of its divisors is an integer number (9845369856).

Almost surely, 2^{3218334145488} 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 3218334145488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6301036707840).

3218334145488 is an abundant number, since it is smaller than the sum of its proper divisors (9383739270192).

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

3218334145488 is a wasteful number, since it uses less digits than its factorization.

3218334145488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1301 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The spelling of 3218334145488 in words is "three trillion, two hundred eighteen billion, three hundred thirty-four million, one hundred forty-five thousand, four hundred eighty-eight".