45418685644800 has 2160 divisors, whose sum is σ = 190348483584000. Its totient is φ = 10583282810880.

The previous prime is 45418685644789. The next prime is 45418685644831. The reversal of 45418685644800 is 844658681454.

It is a happy number.

45418685644800 is a `hidden beast` number, since 4 + 5 + 4 + 1 + 8 + 68 + 564 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35511090561 + ... + 35511091839.

Almost surely, 2^{45418685644800} is an apocalyptic number.

45418685644800 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 45418685644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95174241792000).

45418685644800 is an abundant number, since it is smaller than the sum of its proper divisors (144929797939200).

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

45418685644800 is a wasteful number, since it uses less digits than its factorization.

45418685644800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 117964800, while the sum is 63.

The spelling of 45418685644800 in words is "forty-five trillion, four hundred eighteen billion, six hundred eighty-five million, six hundred forty-four thousand, eight hundred".