45511142245344 has 288 divisors, whose sum is σ = 139499070800544. Its totient is φ = 14022039306240.

The previous prime is 45511142245339. The next prime is 45511142245379. The reversal of 45511142245344 is 44354224111554.

45511142245344 is a `hidden beast` number, since 4 + 5 + 5 + 11 + 142 + 2 + 453 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 45511142245344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191917312 + ... + 192154304.

It is an arithmetic number, because the mean of its divisors is an integer number (484371773613).

Almost surely, 2^{45511142245344} 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 45511142245344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69749535400272).

45511142245344 is an abundant number, since it is smaller than the sum of its proper divisors (93987928555200).

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

45511142245344 is a wasteful number, since it uses less digits than its factorization.

45511142245344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237730 (or 237719 counting only the distinct ones).

The product of its digits is 1536000, while the sum is 45.

Adding to 45511142245344 its reverse (44354224111554), we get a palindrome (89865366356898).

The spelling of 45511142245344 in words is "forty-five trillion, five hundred eleven billion, one hundred forty-two million, two hundred forty-five thousand, three hundred forty-four".