10814310000 has 750 divisors, whose sum is σ = 42888333840. Its totient is φ = 2628288000.

The previous prime is 10814309923. The next prime is 10814310029. The reversal of 10814310000 is 1341801.

It is a tau number, because it is divible by the number of its divisors (750).

It is a super-2 number, since 2×10814310000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 136889961 + ... + 136890039.

Almost surely, 2^10814310000 is an apocalyptic number.

10814310000 is a gapful number since it is divisible by the number (10) 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 10814310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21444166920).

10814310000 is an abundant number, since it is smaller than the sum of its proper divisors (32074023840).

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

10814310000 is an equidigital number, since it uses as much as digits as its factorization.

10814310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10814310000 its reverse (1341801), we get a palindrome (10815651801).

The spelling of 10814310000 in words is "ten billion, eight hundred fourteen million, three hundred ten thousand".