1454230828800 has 648 divisors, whose sum is σ = 5375849663184. Its totient is φ = 374809559040.

The previous prime is 1454230828789. The next prime is 1454230828801. The reversal of 1454230828800 is 88280324541.

1454230828800 is a `hidden beast` number, since 1 + 4 + 542 + 3 + 0 + 8 + 28 + 80 + 0 = 666.

It is a super-2 number, since 2×1454230828800² (a number of 25 digits) contains 22 as substring.

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 (1454230828801) 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 71 ways as a sum of consecutive naturals, for example, 240246574 + ... + 240252626.

Almost surely, 2^{1454230828800} is an apocalyptic number.

1454230828800 is a gapful number since it is divisible by the number (10) 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 1454230828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2687924831592).

1454230828800 is an abundant number, since it is smaller than the sum of its proper divisors (3921618834384).

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

1454230828800 is a wasteful number, since it uses less digits than its factorization.

1454230828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6225 (or 6203 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 1454230828800 in words is "one trillion, four hundred fifty-four billion, two hundred thirty million, eight hundred twenty-eight thousand, eight hundred".