3137818040448 has 1024 divisors, whose sum is σ = 10792225382400. Its totient is φ = 785910988800.

The previous prime is 3137818040443. The next prime is 3137818040471. The reversal of 3137818040448 is 8440408187313.

It is a self number, because there is not a number n which added to its sum of digits gives 3137818040448.

It is not an unprimeable number, because it can be changed into a prime (3137818040443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11087696115 + ... + 11087696397.

It is an arithmetic number, because the mean of its divisors is an integer number (10539282600).

Almost surely, 2^{3137818040448} 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 3137818040448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5396112691200).

3137818040448 is an abundant number, since it is smaller than the sum of its proper divisors (7654407341952).

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

3137818040448 is a wasteful number, since it uses less digits than its factorization.

3137818040448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 3137818040448 in words is "three trillion, one hundred thirty-seven billion, eight hundred eighteen million, forty thousand, four hundred forty-eight".