45164469110400 has 1728 divisors, whose sum is σ = 181837175738400. Its totient is φ = 11038436352000.

The previous prime is 45164469110351. The next prime is 45164469110401. The reversal of 45164469110400 is 401196446154.

45164469110400 is a `hidden beast` number, since 4 + 5 + 16 + 446 + 91 + 104 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (45164469110401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 14198196810 + ... + 14198199990.

Almost surely, 2^{45164469110400} is an apocalyptic number.

45164469110400 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 45164469110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90918587869200).

45164469110400 is an abundant number, since it is smaller than the sum of its proper divisors (136672706628000).

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

45164469110400 is a wasteful number, since it uses less digits than its factorization.

45164469110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3301 (or 3241 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 45164469110400 in words is "forty-five trillion, one hundred sixty-four billion, four hundred sixty-nine million, one hundred ten thousand, four hundred".