11345312500 has 108 divisors (see below), whose sum is σ = 25470690084. Its totient is φ = 4420000000.

The previous prime is 11345312449. The next prime is 11345312507. The reversal of 11345312500 is 521354311.

It is a happy number.

It can be written as a sum of positive squares in 18 ways, for example, as 1530843876 + 9814468624 = 39126^2 + 99068^2 .

It is a super-2 number, since 2×11345312500² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11345312507) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 82812432 + ... + 82812568.

It is an arithmetic number, because the mean of its divisors is an integer number (235839723).

Almost surely, 2^11345312500 is an apocalyptic number.

11345312500 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 11345312500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12735345042).

11345312500 is an abundant number, since it is smaller than the sum of its proper divisors (14125377584).

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

11345312500 is an frugal number, since it uses more digits than its factorization.

11345312500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 11345312500 its reverse (521354311), we get a palindrome (11866666811).

The spelling of 11345312500 in words is "eleven billion, three hundred forty-five million, three hundred twelve thousand, five hundred".