451480405648896 has 240 divisors, whose sum is σ = 1403314304792400. Its totient is φ = 138909100032000.

The previous prime is 451480405648837. The next prime is 451480405648949. The reversal of 451480405648896 is 698846504084154.

451480405648896 is a `hidden beast` number, since 4 + 5 + 1 + 4 + 8 + 0 + 4 + 0 + 56 + 488 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 1093101430 + ... + 1093514378.

It is an arithmetic number, because the mean of its divisors is an integer number (5847142936635).

Almost surely, 2^{451480405648896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451480405648896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701657152396200).

451480405648896 is an abundant number, since it is smaller than the sum of its proper divisors (951833899143504).

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

451480405648896 is a wasteful number, since it uses less digits than its factorization.

451480405648896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431237 (or 431218 counting only the distinct ones).

The product of its (nonzero) digits is 1061683200, while the sum is 72.

The spelling of 451480405648896 in words is "four hundred fifty-one trillion, four hundred eighty billion, four hundred five million, six hundred forty-eight thousand, eight hundred ninety-six".