11381165626116 has 1152 divisors, whose sum is σ = 37532997734400. Its totient is φ = 2624746291200.

The previous prime is 11381165626111. The next prime is 11381165626151. The reversal of 11381165626116 is 61162656118311.

It is not an unprimeable number, because it can be changed into a prime (11381165626111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12250985140 + ... + 12250986068.

It is an arithmetic number, because the mean of its divisors is an integer number (32580727200).

Almost surely, 2^{11381165626116} 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 11381165626116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18766498867200).

11381165626116 is an abundant number, since it is smaller than the sum of its proper divisors (26151832108284).

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

11381165626116 is a wasteful number, since it uses less digits than its factorization.

11381165626116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1048 counting only the distinct ones).

The product of its digits is 311040, while the sum is 48.

The spelling of 11381165626116 in words is "eleven trillion, three hundred eighty-one billion, one hundred sixty-five million, six hundred twenty-six thousand, one hundred sixteen".