45412610544 has 240 divisors, whose sum is σ = 160480300032. Its totient is φ = 11680745472.

The previous prime is 45412610491. The next prime is 45412610557. The reversal of 45412610544 is 44501621454.

45412610544 is a `hidden beast` number, since 4 + 54 + 1 + 2 + 61 + 0 + 544 = 666.

45412610544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45412610499 and 45412610508.

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, 336517 + ... + 451739.

Almost surely, 2^45412610544 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 45412610544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80240150016).

45412610544 is an abundant number, since it is smaller than the sum of its proper divisors (115067689488).

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

45412610544 is a wasteful number, since it uses less digits than its factorization.

45412610544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115284 (or 115275 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 45412610544 in words is "forty-five billion, four hundred twelve million, six hundred ten thousand, five hundred forty-four".