11681508949968 has 160 divisors (see below), whose sum is σ = 35459134220160. Its totient is φ = 3266986936320.

The previous prime is 11681508949961. The next prime is 11681508949997. The reversal of 11681508949968 is 86994980518611.

It is a self number, because there is not a number n which added to its sum of digits gives 11681508949968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11681508949961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40139830 + ... + 40429802.

It is an arithmetic number, because the mean of its divisors is an integer number (221619588876).

Almost surely, 2^{11681508949968} 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 11681508949968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17729567110080).

11681508949968 is an abundant number, since it is smaller than the sum of its proper divisors (23777625270192).

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

11681508949968 is a wasteful number, since it uses less digits than its factorization.

11681508949968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295877 (or 295871 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 75.

The spelling of 11681508949968 in words is "eleven trillion, six hundred eighty-one billion, five hundred eight million, nine hundred forty-nine thousand, nine hundred sixty-eight".