454565496960 has 768 divisors, whose sum is σ = 1758021408000. Its totient is φ = 107555586048.

The previous prime is 454565496907. The next prime is 454565496967. The reversal of 454565496960 is 69694565454.

454565496960 is a `hidden beast` number, since 4 + 5 + 4 + 56 + 5 + 496 + 96 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (454565496967) 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, 489305776 + ... + 489306704.

It is an arithmetic number, because the mean of its divisors is an integer number (2289090375).

Almost surely, 2^454565496960 is an apocalyptic number.

454565496960 is a gapful number since it is divisible by the number (40) 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 454565496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879010704000).

454565496960 is an abundant number, since it is smaller than the sum of its proper divisors (1303455911040).

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

454565496960 is a wasteful number, since it uses less digits than its factorization.

454565496960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 139968000, while the sum is 63.

The spelling of 454565496960 in words is "four hundred fifty-four billion, five hundred sixty-five million, four hundred ninety-six thousand, nine hundred sixty".