11166668448 has 192 divisors, whose sum is σ = 33331415040. Its totient is φ = 3245018112.

The previous prime is 11166668437. The next prime is 11166668459. The reversal of 11166668448 is 84486666111.

It is an interprime number because it is at equal distance from previous prime (11166668437) and next prime (11166668459).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11166668448.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11547261 + ... + 11548227.

It is an arithmetic number, because the mean of its divisors is an integer number (173601120).

Almost surely, 2^11166668448 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 11166668448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16665707520).

11166668448 is an abundant number, since it is smaller than the sum of its proper divisors (22164746592).

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

11166668448 is a wasteful number, since it uses less digits than its factorization.

11166668448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499 (or 1491 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 51.

The spelling of 11166668448 in words is "eleven billion, one hundred sixty-six million, six hundred sixty-eight thousand, four hundred forty-eight".