11138289952608 has 768 divisors, whose sum is σ = 43479979683840. Its totient is φ = 2690037153792.

The previous prime is 11138289952579. The next prime is 11138289952609. The reversal of 11138289952608 is 80625998283111.

11138289952608 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 8 + 289 + 95 + 260 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11138289952609) 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 127 ways as a sum of consecutive naturals, for example, 49341885 + ... + 49567107.

It is an arithmetic number, because the mean of its divisors is an integer number (56614556880).

Almost surely, 2^{11138289952608} is an apocalyptic number.

11138289952608 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 11138289952608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21739989841920).

11138289952608 is an abundant number, since it is smaller than the sum of its proper divisors (32341689731232).

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

11138289952608 is a wasteful number, since it uses less digits than its factorization.

11138289952608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225316 (or 225302 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 63.

The spelling of 11138289952608 in words is "eleven trillion, one hundred thirty-eight billion, two hundred eighty-nine million, nine hundred fifty-two thousand, six hundred eight".