11334688512 has 432 divisors, whose sum is σ = 37600442880. Its totient is φ = 2963423232.

The previous prime is 11334688499. The next prime is 11334688513. The reversal of 11334688512 is 21588643311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (138240) is a multiple of the sum of its prime factors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11334688513) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103987914 + ... + 103988022.

Almost surely, 2^11334688512 is an apocalyptic number.

11334688512 is a gapful number since it is divisible by the number (12) 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 11334688512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18800221440).

11334688512 is an abundant number, since it is smaller than the sum of its proper divisors (26265754368).

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

11334688512 is a wasteful number, since it uses less digits than its factorization.

11334688512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 173 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The spelling of 11334688512 in words is "eleven billion, three hundred thirty-four million, six hundred eighty-eight thousand, five hundred twelve".