450949665374208 has 6480 divisors, whose sum is σ = 2000224847416320. Its totient is φ = 99125113651200.

The previous prime is 450949665374203. The next prime is 450949665374213. The reversal of 450949665374208 is 802473566949054.

450949665374208 is a `hidden beast` number, since 4 + 5 + 0 + 9 + 4 + 9 + 66 + 537 + 4 + 20 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (450949665374203) and next prime (450949665374213).

It is a super-2 number, since 2×450949665374208² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450949665374203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 14546763399153 + ... + 14546763399183.

It is an arithmetic number, because the mean of its divisors is an integer number (308676673984).

Almost surely, 2^{450949665374208} is an apocalyptic number.

450949665374208 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 450949665374208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000112423708160).

450949665374208 is an abundant number, since it is smaller than the sum of its proper divisors (1549275182042112).

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

450949665374208 is a wasteful number, since it uses less digits than its factorization.

450949665374208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 1567641600, while the sum is 72.

The spelling of 450949665374208 in words is "four hundred fifty trillion, nine hundred forty-nine billion, six hundred sixty-five million, three hundred seventy-four thousand, two hundred eight".