10814571405456 has 320 divisors, whose sum is σ = 35420666265600. Its totient is φ = 2767160309760.

The previous prime is 10814571405437. The next prime is 10814571405467. The reversal of 10814571405456 is 65450417541801.

It is a junction number, because it is equal to n+sod(n) for n = 10814571405399 and 10814571405408.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27792561 + ... + 28178991.

It is an arithmetic number, because the mean of its divisors is an integer number (110689582080).

Almost surely, 2^{10814571405456} is an apocalyptic number.

10814571405456 is a gapful number since it is divisible by the number (16) 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 10814571405456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17710333132800).

10814571405456 is an abundant number, since it is smaller than the sum of its proper divisors (24606094860144).

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

10814571405456 is a wasteful number, since it uses less digits than its factorization.

10814571405456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386654 (or 386648 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 51.

The spelling of 10814571405456 in words is "ten trillion, eight hundred fourteen billion, five hundred seventy-one million, four hundred five thousand, four hundred fifty-six".