45225994844160 has 2304 divisors, whose sum is σ = 184988371276800. Its totient is φ = 10513466523648.

The previous prime is 45225994844153. The next prime is 45225994844293. The reversal of 45225994844160 is 6144849952254.

45225994844160 is a `hidden beast` number, since 4 + 5 + 2 + 2 + 5 + 99 + 48 + 441 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×45225994844160² (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 191 ways as a sum of consecutive naturals, for example, 66216683179 + ... + 66216683861.

It is an arithmetic number, because the mean of its divisors is an integer number (80290091700).

Almost surely, 2^{45225994844160} is an apocalyptic number.

45225994844160 is a gapful number since it is divisible by the number (40) 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 45225994844160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92494185638400).

45225994844160 is an abundant number, since it is smaller than the sum of its proper divisors (139762376432640).

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

45225994844160 is a wasteful number, since it uses less digits than its factorization.

45225994844160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 45225994844160 in words is "forty-five trillion, two hundred twenty-five billion, nine hundred ninety-four million, eight hundred forty-four thousand, one hundred sixty".