451373651792560 has 480 divisors, whose sum is σ = 1259831609187840. Its totient is φ = 149886916300800.

The previous prime is 451373651792549. The next prime is 451373651792561. The reversal of 451373651792560 is 65297156373154.

It is a junction number, because it is equal to n+sod(n) for n = 451373651792492 and 451373651792501.

It is not an unprimeable number, because it can be changed into a prime (451373651792561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25797193732 + ... + 25797211228.

It is an arithmetic number, because the mean of its divisors is an integer number (2624649185808).

Almost surely, 2^{451373651792560} is an apocalyptic number.

451373651792560 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 451373651792560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629915804593920).

451373651792560 is an abundant number, since it is smaller than the sum of its proper divisors (808457957395280).

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

451373651792560 is a wasteful number, since it uses less digits than its factorization.

451373651792560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19225 (or 19212 counting only the distinct ones).

The product of its (nonzero) digits is 142884000, while the sum is 64.

The spelling of 451373651792560 in words is "four hundred fifty-one trillion, three hundred seventy-three billion, six hundred fifty-one million, seven hundred ninety-two thousand, five hundred sixty".