450745146060000 has 960 divisors, whose sum is σ = 1698508658246400. Its totient is φ = 103479552000000.

The previous prime is 450745146059933. The next prime is 450745146060029. The reversal of 450745146060000 is 60641547054.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 41394534556 + ... + 41394545444.

It is an arithmetic number, because the mean of its divisors is an integer number (1769279852340).

Almost surely, 2^{450745146060000} is an apocalyptic number.

450745146060000 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 450745146060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849254329123200).

450745146060000 is an abundant number, since it is smaller than the sum of its proper divisors (1247763512186400).

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

450745146060000 is a wasteful number, since it uses less digits than its factorization.

450745146060000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14253 (or 14230 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 450745146060000 in words is "four hundred fifty trillion, seven hundred forty-five billion, one hundred forty-six million, sixty thousand".