454755437568 has 176 divisors, whose sum is σ = 1349085339360. Its totient is φ = 151324065792.

The previous prime is 454755437551. The next prime is 454755437621. The reversal of 454755437568 is 865734557454.

454755437568 is a `hidden beast` number, since 4 + 5 + 4 + 7 + 554 + 3 + 75 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16381396 + ... + 16409132.

It is an arithmetic number, because the mean of its divisors is an integer number (7665257610).

Almost surely, 2^454755437568 is an apocalyptic number.

454755437568 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 454755437568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674542669680).

454755437568 is an abundant number, since it is smaller than the sum of its proper divisors (894329901792).

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

454755437568 is a wasteful number, since it uses less digits than its factorization.

454755437568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28359 (or 28335 counting only the distinct ones).

The product of its digits is 282240000, while the sum is 63.

The spelling of 454755437568 in words is "four hundred fifty-four billion, seven hundred fifty-five million, four hundred thirty-seven thousand, five hundred sixty-eight".