11657654688684 has 96 divisors (see below), whose sum is σ = 29196954662400. Its totient is φ = 3607204277248.

The previous prime is 11657654688671. The next prime is 11657654688761. The reversal of 11657654688684 is 48688645675611.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9567562 + ... + 10716974.

It is an arithmetic number, because the mean of its divisors is an integer number (304134944400).

Almost surely, 2^{11657654688684} 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 11657654688684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14598477331200).

11657654688684 is an abundant number, since it is smaller than the sum of its proper divisors (17539299973716).

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

11657654688684 is a wasteful number, since it uses less digits than its factorization.

11657654688684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150119 (or 1150117 counting only the distinct ones).

The product of its digits is 1857945600, while the sum is 75.

The spelling of 11657654688684 in words is "eleven trillion, six hundred fifty-seven billion, six hundred fifty-four million, six hundred eighty-eight thousand, six hundred eighty-four".