11138688734976 has 216 divisors, whose sum is σ = 35049872383344. Its totient is φ = 3373945159680.

The previous prime is 11138688734911. The next prime is 11138688734983. The reversal of 11138688734976 is 67943788683111.

11138688734976 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 8 + 68 + 8 + 73 + 497 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 61165530 + ... + 61347366.

Almost surely, 2^{11138688734976} is an apocalyptic number.

11138688734976 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 11138688734976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17524936191672).

11138688734976 is an abundant number, since it is smaller than the sum of its proper divisors (23911183648368).

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

11138688734976 is a wasteful number, since it uses less digits than its factorization.

11138688734976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184287 (or 184270 counting only the distinct ones).

The product of its digits is 292626432, while the sum is 72.

The spelling of 11138688734976 in words is "eleven trillion, one hundred thirty-eight billion, six hundred eighty-eight million, seven hundred thirty-four thousand, nine hundred seventy-six".