45338033168064 has 1120 divisors, whose sum is σ = 167030086519296. Its totient is φ = 11840680673280.

The previous prime is 45338033168047. The next prime is 45338033168111. The reversal of 45338033168064 is 46086133083354.

45338033168064 is a `hidden beast` number, since 4 + 533 + 8 + 0 + 33 + 16 + 8 + 0 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 45338033168064.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 41556400159 + ... + 41556401249.

Almost surely, 2^{45338033168064} 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 45338033168064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83515043259648).

45338033168064 is an abundant number, since it is smaller than the sum of its proper divisors (121692053351232).

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

45338033168064 is a wasteful number, since it uses less digits than its factorization.

45338033168064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 45338033168064 in words is "forty-five trillion, three hundred thirty-eight billion, thirty-three million, one hundred sixty-eight thousand, sixty-four".