45330323542000 has 320 divisors, whose sum is σ = 126817431736320. Its totient is φ = 15349872384000.

The previous prime is 45330323541941. The next prime is 45330323542033. The reversal of 45330323542000 is 24532303354.

45330323542000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1130101945 + ... + 1130142055.

It is an arithmetic number, because the mean of its divisors is an integer number (396304474176).

Almost surely, 2^{45330323542000} is an apocalyptic number.

45330323542000 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 45330323542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63408715868160).

45330323542000 is an abundant number, since it is smaller than the sum of its proper divisors (81487108194320).

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

45330323542000 is a wasteful number, since it uses less digits than its factorization.

45330323542000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41137 (or 41121 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 34.

Adding to 45330323542000 its reverse (24532303354), we get a palindrome (45354855845354).

The spelling of 45330323542000 in words is "forty-five trillion, three hundred thirty billion, three hundred twenty-three million, five hundred forty-two thousand".