3164132496448 has 448 divisors, whose sum is σ = 8326471974912. Its totient is φ = 1157068800000.

The previous prime is 3164132496397. The next prime is 3164132496521. The reversal of 3164132496448 is 8446942314613.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1133689933 + ... + 1133692723.

It is an arithmetic number, because the mean of its divisors is an integer number (18585874944).

Almost surely, 2^{3164132496448} 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 3164132496448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4163235987456).

3164132496448 is an abundant number, since it is smaller than the sum of its proper divisors (5162339478464).

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

3164132496448 is a wasteful number, since it uses less digits than its factorization.

3164132496448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3074 (or 3064 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 55.

The spelling of 3164132496448 in words is "three trillion, one hundred sixty-four billion, one hundred thirty-two million, four hundred ninety-six thousand, four hundred forty-eight".