11514355040 has 96 divisors (see below), whose sum is σ = 27877893120. Its totient is φ = 4492633600.

The previous prime is 11514355003. The next prime is 11514355063. The reversal of 11514355040 is 4055341511.

11514355040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11514354994 and 11514355012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1231985 + ... + 1241295.

It is an arithmetic number, because the mean of its divisors is an integer number (290394720).

Almost surely, 2^11514355040 is an apocalyptic number.

11514355040 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 11514355040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13938946560).

11514355040 is an abundant number, since it is smaller than the sum of its proper divisors (16363538080).

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

11514355040 is a wasteful number, since it uses less digits than its factorization.

11514355040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9516 (or 9508 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 29.

Adding to 11514355040 its reverse (4055341511), we get a palindrome (15569696551).

The spelling of 11514355040 in words is "eleven billion, five hundred fourteen million, three hundred fifty-five thousand, forty".