11415000608 has 162 divisors, whose sum is σ = 26502952959. Its totient is φ = 4835072000.

The previous prime is 11415000607. The next prime is 11415000613. The reversal of 11415000608 is 80600051411.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 11309897104 + 105103504 = 106348^2 + 10252^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=75548.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11415000601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 113019758 + ... + 113019858.

Almost surely, 2^11415000608 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 11415000608

11415000608 is an abundant number, since it is smaller than the sum of its proper divisors (15087952351).

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

11415000608 is a wasteful number, since it uses less digits than its factorization.

11415000608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

The spelling of 11415000608 in words is "eleven billion, four hundred fifteen million, six hundred eight", and thus it is an aban number.