45169591104 has 672 divisors, whose sum is σ = 153373409280. Its totient is φ = 12579840000.

The previous prime is 45169591097. The next prime is 45169591121. The reversal of 45169591104 is 40119596154.

45169591104 is a `hidden beast` number, since 4 + 51 + 6 + 9 + 591 + 1 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 45169591104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 571766937 + ... + 571767015.

It is an arithmetic number, because the mean of its divisors is an integer number (228234240).

Almost surely, 2^45169591104 is an apocalyptic number.

45169591104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45169591104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76686704640).

45169591104 is an abundant number, since it is smaller than the sum of its proper divisors (108203818176).

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

45169591104 is a wasteful number, since it uses less digits than its factorization.

45169591104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 45169591104 in words is "forty-five billion, one hundred sixty-nine million, five hundred ninety-one thousand, one hundred four".