451523224200000 has 672 divisors, whose sum is σ = 1531147382045568. Its totient is φ = 117385297920000.

The previous prime is 451523224199987. The next prime is 451523224200017. The reversal of 451523224200000 is 2422325154.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3899342104 + ... + 3899457896.

It is an arithmetic number, because the mean of its divisors is an integer number (2278493128044).

Almost surely, 2^{451523224200000} is an apocalyptic number.

451523224200000 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 451523224200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765573691022784).

451523224200000 is an abundant number, since it is smaller than the sum of its proper divisors (1079624157845568).

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

451523224200000 is an equidigital number, since it uses as much as digits as its factorization.

451523224200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115997 (or 115967 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 451523224200000 its reverse (2422325154), we get a palindrome (451525646525154).

The spelling of 451523224200000 in words is "four hundred fifty-one trillion, five hundred twenty-three billion, two hundred twenty-four million, two hundred thousand".