450145452123120 has 320 divisors, whose sum is σ = 1504798686720000. Its totient is φ = 110657248727040.

The previous prime is 450145452123041. The next prime is 450145452123149. The reversal of 450145452123120 is 21321254541054.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9553350921 + ... + 9553398039.

It is an arithmetic number, because the mean of its divisors is an integer number (4702495896000).

Almost surely, 2^{450145452123120} is an apocalyptic number.

450145452123120 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 450145452123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752399343360000).

450145452123120 is an abundant number, since it is smaller than the sum of its proper divisors (1054653234596880).

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

450145452123120 is a wasteful number, since it uses less digits than its factorization.

450145452123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51168 (or 51162 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 39.

The spelling of 450145452123120 in words is "four hundred fifty trillion, one hundred forty-five billion, four hundred fifty-two million, one hundred twenty-three thousand, one hundred twenty".