11413880064 has 216 divisors, whose sum is σ = 33952638720. Its totient is φ = 3685699584.

The previous prime is 11413880063. The next prime is 11413880113. The reversal of 11413880064 is 46008831411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11413880063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11802909 + ... + 11803875.

Almost surely, 2^11413880064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11413880064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16976319360).

11413880064 is an abundant number, since it is smaller than the sum of its proper divisors (22538758656).

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

11413880064 is a wasteful number, since it uses less digits than its factorization.

11413880064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 11413880064 in words is "eleven billion, four hundred thirteen million, eight hundred eighty thousand, sixty-four".