45314511240444 has 192 divisors, whose sum is σ = 115429526876160. Its totient is φ = 13778030223360.

The previous prime is 45314511240403. The next prime is 45314511240469. The reversal of 45314511240444 is 44404211541354.

It is a junction number, because it is equal to n+sod(n) for n = 45314511240396 and 45314511240405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2104801872 + ... + 2104823400.

It is an arithmetic number, because the mean of its divisors is an integer number (601195452480).

Almost surely, 2^{45314511240444} 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 45314511240444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57714763438080).

45314511240444 is an abundant number, since it is smaller than the sum of its proper divisors (70115015635716).

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

45314511240444 is a wasteful number, since it uses less digits than its factorization.

45314511240444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22668 (or 22666 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 42.

Adding to 45314511240444 its reverse (44404211541354), we get a palindrome (89718722781798).

The spelling of 45314511240444 in words is "forty-five trillion, three hundred fourteen billion, five hundred eleven million, two hundred forty thousand, four hundred forty-four".