11147137339338 has 1008 divisors, whose sum is σ = 34741480297608. Its totient is φ = 2655584870400.

The previous prime is 11147137339337. The next prime is 11147137339339. The reversal of 11147137339338 is 83393373174111.

11147137339338 is a `hidden beast` number, since 1 + 1 + 147 + 13 + 73 + 393 + 38 = 666.

It is an interprime number because it is at equal distance from previous prime (11147137339337) and next prime (11147137339339).

It can be written as a sum of positive squares in 4 ways, for example, as 8147981854089 + 2999155485249 = 2854467^2 + 1731807^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11147137339337) by changing a digit.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 31578292570 + ... + 31578292922.

Almost surely, 2^{11147137339338} is an apocalyptic number.

11147137339338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11147137339338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17370740148804).

11147137339338 is an abundant number, since it is smaller than the sum of its proper divisors (23594342958270).

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

11147137339338 is a wasteful number, since it uses less digits than its factorization.

11147137339338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 670 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The spelling of 11147137339338 in words is "eleven trillion, one hundred forty-seven billion, one hundred thirty-seven million, three hundred thirty-nine thousand, three hundred thirty-eight".