11629137114 has 80 divisors (see below), whose sum is σ = 29802915648. Its totient is φ = 3320103168.

The previous prime is 11629137101. The next prime is 11629137119. The reversal of 11629137114 is 41173192611.

11629137114 is a `hidden beast` number, since 1 + 1 + 629 + 13 + 7 + 1 + 14 = 666.

11629137114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11629137119) 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 39 ways as a sum of consecutive naturals, for example, 1921377 + ... + 1927419.

Almost surely, 2^11629137114 is an apocalyptic number.

11629137114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11629137114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14901457824).

11629137114 is an abundant number, since it is smaller than the sum of its proper divisors (18173778534).

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

11629137114 is a wasteful number, since it uses less digits than its factorization.

11629137114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7761 (or 7752 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The spelling of 11629137114 in words is "eleven billion, six hundred twenty-nine million, one hundred thirty-seven thousand, one hundred fourteen".