11629116000 has 768 divisors, whose sum is σ = 45287424000. Its totient is φ = 2893363200.

The previous prime is 11629115969. The next prime is 11629116001. The reversal of 11629116000 is 61192611.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11629116001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 147203961 + ... + 147204039.

It is an arithmetic number, because the mean of its divisors is an integer number (58968000).

Almost surely, 2^11629116000 is an apocalyptic number.

11629116000 is a gapful number since it is divisible by the number (10) 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 11629116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22643712000).

11629116000 is an abundant number, since it is smaller than the sum of its proper divisors (33658308000).

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

11629116000 is a wasteful number, since it uses less digits than its factorization.

11629116000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 11629116000 in words is "eleven billion, six hundred twenty-nine million, one hundred sixteen thousand".