11102168141376 has 224 divisors, whose sum is σ = 32759331268608. Its totient is φ = 3296651304960.

The previous prime is 11102168141371. The next prime is 11102168141447. The reversal of 11102168141376 is 67314186120111.

It is not an unprimeable number, because it can be changed into a prime (11102168141371) 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 31 ways as a sum of consecutive naturals, for example, 7381665 + ... + 8757471.

It is an arithmetic number, because the mean of its divisors is an integer number (146247014592).

Almost surely, 2^{11102168141376} is an apocalyptic number.

11102168141376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11102168141376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16379665634304).

11102168141376 is an abundant number, since it is smaller than the sum of its proper divisors (21657163127232).

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

11102168141376 is a wasteful number, since it uses less digits than its factorization.

11102168141376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375949 (or 1375939 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The spelling of 11102168141376 in words is "eleven trillion, one hundred two billion, one hundred sixty-eight million, one hundred forty-one thousand, three hundred seventy-six".