451466131211250 has 320 divisors, whose sum is σ = 1161797421818880. Its totient is φ = 116853083424000.

The previous prime is 451466131211243. The next prime is 451466131211269. The reversal of 451466131211250 is 52112131664154.

It is a happy number.

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 159 ways as a sum of consecutive naturals, for example, 102072376539 + ... + 102072380961.

It is an arithmetic number, because the mean of its divisors is an integer number (3630616943184).

Almost surely, 2^{451466131211250} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451466131211250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580898710909440).

451466131211250 is an abundant number, since it is smaller than the sum of its proper divisors (710331290607630).

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

451466131211250 is a wasteful number, since it uses less digits than its factorization.

451466131211250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8323 (or 8308 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 451466131211250 in words is "four hundred fifty-one trillion, four hundred sixty-six billion, one hundred thirty-one million, two hundred eleven thousand, two hundred fifty".