450708442103808 has 1440 divisors, whose sum is σ = 1719919593100800. Its totient is φ = 114817725628416.

The previous prime is 450708442103807. The next prime is 450708442103809. The reversal of 450708442103808 is 808301244807054.

450708442103808 is a `hidden beast` number, since 4 + 5 + 0 + 7 + 0 + 8 + 44 + 210 + 380 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (450708442103807) and next prime (450708442103809).

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

It is not an unprimeable number, because it can be changed into a prime (450708442103807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9001721398 + ... + 9001771466.

It is an arithmetic number, because the mean of its divisors is an integer number (1194388606320).

Almost surely, 2^{450708442103808} is an apocalyptic number.

450708442103808 is a gapful number since it is divisible by the number (48) 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 450708442103808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859959796550400).

450708442103808 is an abundant number, since it is smaller than the sum of its proper divisors (1269211150996992).

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

450708442103808 is an equidigital number, since it uses as much as digits as its factorization.

450708442103808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50155 (or 50117 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 450708442103808 in words is "four hundred fifty trillion, seven hundred eight billion, four hundred forty-two million, one hundred three thousand, eight hundred eight".