11008454935968 has 1152 divisors, whose sum is σ = 40281491496960. Its totient is φ = 2905826918400.

The previous prime is 11008454935963. The next prime is 11008454935979. The reversal of 11008454935968 is 86953945480011.

11008454935968 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 8 + 454 + 93 + 5 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (11008454935963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9564252193 + ... + 9564253343.

It is an arithmetic number, because the mean of its divisors is an integer number (34966572480).

Almost surely, 2^{11008454935968} is an apocalyptic number.

11008454935968 is a gapful number since it is divisible by the number (18) 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 11008454935968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20140745748480).

11008454935968 is an abundant number, since it is smaller than the sum of its proper divisors (29273036560992).

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

11008454935968 is a wasteful number, since it uses less digits than its factorization.

11008454935968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 11008454935968 in words is "eleven trillion, eight billion, four hundred fifty-four million, nine hundred thirty-five thousand, nine hundred sixty-eight".