11633696742108 has 576 divisors, whose sum is σ = 34895895982080. Its totient is φ = 2995763097600.

The previous prime is 11633696742103. The next prime is 11633696742121. The reversal of 11633696742108 is 80124769633611.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11633696742103) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 10643820810 + ... + 10643821902.

Almost surely, 2^{11633696742108} 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 11633696742108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17447947991040).

11633696742108 is an abundant number, since it is smaller than the sum of its proper divisors (23262199239972).

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

11633696742108 is a wasteful number, since it uses less digits than its factorization.

11633696742108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 57.

The spelling of 11633696742108 in words is "eleven trillion, six hundred thirty-three billion, six hundred ninety-six million, seven hundred forty-two thousand, one hundred eight".