45352112324000 has 192 divisors, whose sum is σ = 112296536352000. Its totient is φ = 18000237184000.

The previous prime is 45352112323957. The next prime is 45352112324011. The reversal of 45352112324000 is 42321125354.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330007301 + ... + 330144699.

It is an arithmetic number, because the mean of its divisors is an integer number (584877793500).

Almost surely, 2^{45352112324000} is an apocalyptic number.

45352112324000 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 45352112324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56148268176000).

45352112324000 is an abundant number, since it is smaller than the sum of its proper divisors (66944424028000).

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

45352112324000 is a wasteful number, since it uses less digits than its factorization.

45352112324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138064 (or 138046 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 45352112324000 its reverse (42321125354), we get a palindrome (45394433449354).

The spelling of 45352112324000 in words is "forty-five trillion, three hundred fifty-two billion, one hundred twelve million, three hundred twenty-four thousand".