11615185648 has 80 divisors (see below), whose sum is σ = 25379804160. Its totient is φ = 5101747200.

The previous prime is 11615185591. The next prime is 11615185663. The reversal of 11615185648 is 84658151611.

Its product of digits (230400) is a multiple of the sum of its prime divisors (3200).

It is a junction number, because it is equal to n+sod(n) for n = 11615185598 and 11615185607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5329423 + ... + 5331601.

It is an arithmetic number, because the mean of its divisors is an integer number (317247552).

Almost surely, 2^11615185648 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 11615185648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12689902080).

11615185648 is an abundant number, since it is smaller than the sum of its proper divisors (13764618512).

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

11615185648 is a wasteful number, since it uses less digits than its factorization.

11615185648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3206 (or 3200 counting only the distinct ones).

The product of its digits is 230400, while the sum is 46.

The spelling of 11615185648 in words is "eleven billion, six hundred fifteen million, one hundred eighty-five thousand, six hundred forty-eight".