11046629114136 has 192 divisors, whose sum is σ = 37367282983680. Its totient is φ = 2864102250240.

The previous prime is 11046629114111. The next prime is 11046629114159. The reversal of 11046629114136 is 63141192664011.

It is a happy number.

11046629114136 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 6 + 629 + 1 + 1 + 4 + 13 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11046629114091 and 11046629114100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1299375 + ... + 4876641.

It is an arithmetic number, because the mean of its divisors is an integer number (194621265540).

Almost surely, 2^{11046629114136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11046629114136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18683641491840).

11046629114136 is an abundant number, since it is smaller than the sum of its proper divisors (26320653869544).

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

11046629114136 is a wasteful number, since it uses less digits than its factorization.

11046629114136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3577854 (or 3577847 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 11046629114136 in words is "eleven trillion, forty-six billion, six hundred twenty-nine million, one hundred fourteen thousand, one hundred thirty-six".