2431545462944 has 72 divisors (see below), whose sum is σ = 5186730927420. Its totient is φ = 1122060925440.

The previous prime is 2431545462889. The next prime is 2431545462977. The reversal of 2431545462944 is 4492645451342.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 71081958544 + 2360463504400 = 266612^2 + 1536380^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 413454884 + ... + 413460764.

Almost surely, 2^{2431545462944} 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 2431545462944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2593365463710).

2431545462944 is an abundant number, since it is smaller than the sum of its proper divisors (2755185464476).

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

2431545462944 is an frugal number, since it uses more digits than its factorization.

2431545462944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11811 (or 5896 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 53.

The spelling of 2431545462944 in words is "two trillion, four hundred thirty-one billion, five hundred forty-five million, four hundred sixty-two thousand, nine hundred forty-four".