11465534140 has 96 divisors (see below), whose sum is σ = 25229127168. Its totient is φ = 4371840000.

The previous prime is 11465534117. The next prime is 11465534141. The reversal of 11465534140 is 4143556411.

It is a junction number, because it is equal to n+sod(n) for n = 11465534096 and 11465534105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11465534141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17345410 + ... + 17346070.

It is an arithmetic number, because the mean of its divisors is an integer number (262803408).

Almost surely, 2^11465534140 is an apocalyptic number.

11465534140 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 11465534140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12614563584).

11465534140 is an abundant number, since it is smaller than the sum of its proper divisors (13763593028).

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

11465534140 is a wasteful number, since it uses less digits than its factorization.

11465534140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 11465534140 in words is "eleven billion, four hundred sixty-five million, five hundred thirty-four thousand, one hundred forty".