454345901568 has 640 divisors, whose sum is σ = 1546940989440. Its totient is φ = 130427781120.

The previous prime is 454345901561. The next prime is 454345901627. The reversal of 454345901568 is 865109543454.

454345901568 is a `hidden beast` number, since 4 + 5 + 4 + 34 + 590 + 15 + 6 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454345901561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 387997623 + ... + 387998793.

It is an arithmetic number, because the mean of its divisors is an integer number (2417095296).

Almost surely, 2^454345901568 is an apocalyptic number.

454345901568 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 454345901568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773470494720).

454345901568 is an abundant number, since it is smaller than the sum of its proper divisors (1092595087872).

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

454345901568 is a wasteful number, since it uses less digits than its factorization.

454345901568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 454345901568 in words is "four hundred fifty-four billion, three hundred forty-five million, nine hundred one thousand, five hundred sixty-eight".