10973450456304 has 800 divisors, whose sum is σ = 36223948185600. Its totient is φ = 2851309278720.

The previous prime is 10973450456303. The next prime is 10973450456329. The reversal of 10973450456304 is 40365405437901.

It is a super-2 number, since 2×10973450456304² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10973450456303) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9435468427 + ... + 9435469589.

It is an arithmetic number, because the mean of its divisors is an integer number (45279935232).

Almost surely, 2^{10973450456304} is an apocalyptic number.

10973450456304 is a gapful number since it is divisible by the number (14) 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 10973450456304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18111974092800).

10973450456304 is an abundant number, since it is smaller than the sum of its proper divisors (25250497729296).

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

10973450456304 is a wasteful number, since it uses less digits than its factorization.

10973450456304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 51.

The spelling of 10973450456304 in words is "ten trillion, nine hundred seventy-three billion, four hundred fifty million, four hundred fifty-six thousand, three hundred four".