454965112800 has 864 divisors, whose sum is σ = 1815519049344. Its totient is φ = 106237440000.

The previous prime is 454965112787. The next prime is 454965112949. The reversal of 454965112800 is 8211569454.

454965112800 is a `hidden beast` number, since 4 + 54 + 9 + 6 + 511 + 2 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 313552075 + ... + 313553525.

It is an arithmetic number, because the mean of its divisors is an integer number (2101295196).

Almost surely, 2^454965112800 is an apocalyptic number.

454965112800 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 454965112800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907759524672).

454965112800 is an abundant number, since it is smaller than the sum of its proper divisors (1360553936544).

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

454965112800 is a wasteful number, since it uses less digits than its factorization.

454965112800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

It can be divided in two parts, 454965 and 112800, that added together give a palindrome (567765).

The spelling of 454965112800 in words is "four hundred fifty-four billion, nine hundred sixty-five million, one hundred twelve thousand, eight hundred".