454825732608 has 640 divisors, whose sum is σ = 1510890796800. Its totient is φ = 134131286016.

The previous prime is 454825732601. The next prime is 454825732633. The reversal of 454825732608 is 806237528454.

454825732608 is a `hidden beast` number, since 4 + 5 + 4 + 8 + 2 + 573 + 2 + 60 + 8 = 666.

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 (454825732601) 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 63 ways as a sum of consecutive naturals, for example, 1026694435 + ... + 1026694877.

It is an arithmetic number, because the mean of its divisors is an integer number (2360766870).

Almost surely, 2^454825732608 is an apocalyptic number.

454825732608 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 454825732608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755445398400).

454825732608 is an abundant number, since it is smaller than the sum of its proper divisors (1056065064192).

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

454825732608 is a wasteful number, since it uses less digits than its factorization.

454825732608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 454825732608 in words is "four hundred fifty-four billion, eight hundred twenty-five million, seven hundred thirty-two thousand, six hundred eight".