45011235173184 has 1792 divisors, whose sum is σ = 170152722432000. Its totient is φ = 11377315676160.

The previous prime is 45011235173123. The next prime is 45011235173209. The reversal of 45011235173184 is 48137153211054.

45011235173184 is a `hidden beast` number, since 4 + 5 + 0 + 1 + 1 + 23 + 517 + 31 + 84 = 666.

It is a super-2 number, since 2×45011235173184² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 34704112824 + ... + 34704114120.

It is an arithmetic number, because the mean of its divisors is an integer number (94951296000).

Almost surely, 2^{45011235173184} 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 45011235173184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85076361216000).

45011235173184 is an abundant number, since it is smaller than the sum of its proper divisors (125141487258816).

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

45011235173184 is a wasteful number, since it uses less digits than its factorization.

45011235173184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 45011235173184 in words is "forty-five trillion, eleven billion, two hundred thirty-five million, one hundred seventy-three thousand, one hundred eighty-four".