454651008000 has 1056 divisors, whose sum is σ = 1788739475328. Its totient is φ = 102187008000.

The previous prime is 454651007977. The next prime is 454651008017. The reversal of 454651008000 is 800156454.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1373567835 + ... + 1373568165.

Almost surely, 2^454651008000 is an apocalyptic number.

454651008000 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 454651008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894369737664).

454651008000 is an abundant number, since it is smaller than the sum of its proper divisors (1334088467328).

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

454651008000 is a wasteful number, since it uses less digits than its factorization.

454651008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 454651008000 in words is "four hundred fifty-four billion, six hundred fifty-one million, eight thousand".