450665605563120 has 480 divisors, whose sum is σ = 1616648283244800. Its totient is φ = 115385128492032.

The previous prime is 450665605563031. The next prime is 450665605563137. The reversal of 450665605563120 is 21365506566054.

450665605563120 is a `hidden beast` number, since 4 + 5 + 0 + 6 + 6 + 5 + 60 + 5 + 563 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 324471259 + ... + 325857221.

It is an arithmetic number, because the mean of its divisors is an integer number (3368017256760).

Almost surely, 2^{450665605563120} is an apocalyptic number.

450665605563120 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 450665605563120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808324141622400).

450665605563120 is an abundant number, since it is smaller than the sum of its proper divisors (1165982677681680).

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

450665605563120 is a wasteful number, since it uses less digits than its factorization.

450665605563120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386222 (or 1386181 counting only the distinct ones).

The product of its (nonzero) digits is 19440000, while the sum is 54.

The spelling of 450665605563120 in words is "four hundred fifty trillion, six hundred sixty-five billion, six hundred five million, five hundred sixty-three thousand, one hundred twenty".