45404343936000 has 3168 divisors, whose sum is σ = 203959402343424. Its totient is φ = 10043357184000.

The previous prime is 45404343935983. The next prime is 45404343936001. The reversal of 45404343936000 is 63934340454.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

45404343936000 is a `hidden beast` number, since 4 + 5 + 4 + 0 + 4 + 3 + 4 + 39 + 3 + 600 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45404343936001) 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 287 ways as a sum of consecutive naturals, for example, 1464656255985 + ... + 1464656256015.

Almost surely, 2^{45404343936000} is an apocalyptic number.

45404343936000 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 45404343936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101979701171712).

45404343936000 is an abundant number, since it is smaller than the sum of its proper divisors (158555058407424).

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

45404343936000 is an frugal number, since it uses more digits than its factorization.

45404343936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 45404343936000 in words is "forty-five trillion, four hundred four billion, three hundred forty-three million, nine hundred thirty-six thousand".