454874905140000 has 480 divisors, whose sum is σ = 1522604255223744. Its totient is φ = 118825674240000.

The previous prime is 454874905139911. The next prime is 454874905140059. The reversal of 454874905140000 is 41509478454.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×454874905140000² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2044628770 + ... + 2044851230.

Almost surely, 2^{454874905140000} is an apocalyptic number.

454874905140000 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 454874905140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761302127611872).

454874905140000 is an abundant number, since it is smaller than the sum of its proper divisors (1067729350083744).

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

454874905140000 is a wasteful number, since it uses less digits than its factorization.

454874905140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223190 (or 223167 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 454874905140000 in words is "four hundred fifty-four trillion, eight hundred seventy-four billion, nine hundred five million, one hundred forty thousand".