454845744000 has 1536 divisors, whose sum is σ = 1843086960000. Its totient is φ = 106935091200.

The previous prime is 454845743929. The next prime is 454845744007. The reversal of 454845744000 is 447548454.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454845744007) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 3052655926 + ... + 3052656074.

Almost surely, 2^454845744000 is an apocalyptic number.

454845744000 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 454845744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921543480000).

454845744000 is an abundant number, since it is smaller than the sum of its proper divisors (1388241216000).

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

454845744000 is a wasteful number, since it uses less digits than its factorization.

454845744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 1433600, while the sum is 45.

The spelling of 454845744000 in words is "four hundred fifty-four billion, eight hundred forty-five million, seven hundred forty-four thousand".