454151320000 has 560 divisors, whose sum is σ = 1346023134720. Its totient is φ = 148732416000.

The previous prime is 454151319989. The next prime is 454151320003. The reversal of 454151320000 is 23151454.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454151320003) 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 79 ways as a sum of consecutive naturals, for example, 611239629 + ... + 611240371.

Almost surely, 2^454151320000 is an apocalyptic number.

454151320000 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 454151320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673011567360).

454151320000 is an abundant number, since it is smaller than the sum of its proper divisors (891871814720).

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

454151320000 is an equidigital number, since it uses as much as digits as its factorization.

454151320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 454151320000 its reverse (23151454), we get a palindrome (454174471454).

The spelling of 454151320000 in words is "four hundred fifty-four billion, one hundred fifty-one million, three hundred twenty thousand".