11345616240 has 160 divisors (see below), whose sum is σ = 40235520000. Its totient is φ = 2590728192.

The previous prime is 11345616239. The next prime is 11345616257. The reversal of 11345616240 is 4261654311.

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 31 ways as a sum of consecutive naturals, for example, 2095617 + ... + 2101023.

It is an arithmetic number, because the mean of its divisors is an integer number (251472000).

Almost surely, 2^11345616240 is an apocalyptic number.

11345616240 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 11345616240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20117760000).

11345616240 is an abundant number, since it is smaller than the sum of its proper divisors (28889903760).

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

11345616240 is a wasteful number, since it uses less digits than its factorization.

11345616240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6679 (or 6673 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 11345616240 in words is "eleven billion, three hundred forty-five million, six hundred sixteen thousand, two hundred forty".