45031131241544 has 512 divisors, whose sum is σ = 111860215971840. Its totient is φ = 16552835481600.

The previous prime is 45031131241463. The next prime is 45031131241573. The reversal of 45031131241544 is 44514213113054.

It is a junction number, because it is equal to n+sod(n) for n = 45031131241498 and 45031131241507.

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 127 ways as a sum of consecutive naturals, for example, 4151477129 + ... + 4151487975.

It is an arithmetic number, because the mean of its divisors is an integer number (218476984320).

Almost surely, 2^{45031131241544} 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 45031131241544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55930107985920).

45031131241544 is an abundant number, since it is smaller than the sum of its proper divisors (66829084730296).

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

45031131241544 is a wasteful number, since it uses less digits than its factorization.

45031131241544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11069 (or 11065 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

Adding to 45031131241544 its reverse (44514213113054), we get a palindrome (89545344354598).

The spelling of 45031131241544 in words is "forty-five trillion, thirty-one billion, one hundred thirty-one million, two hundred forty-one thousand, five hundred forty-four".