10531691456 has 112 divisors (see below), whose sum is σ = 24598274400. Its totient is φ = 4410654720.

The previous prime is 10531691441. The next prime is 10531691477. The reversal of 10531691456 is 65419613501.

It is a super-2 number, since 2×10531691456² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9599900 + ... + 9600996.

It is an arithmetic number, because the mean of its divisors is an integer number (219627450).

Almost surely, 2^10531691456 is an apocalyptic number.

10531691456 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 10531691456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12299137200).

10531691456 is an abundant number, since it is smaller than the sum of its proper divisors (14066582944).

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

10531691456 is a wasteful number, since it uses less digits than its factorization.

10531691456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 41.

The spelling of 10531691456 in words is "ten billion, five hundred thirty-one million, six hundred ninety-one thousand, four hundred fifty-six".