116605729152 has 288 divisors, whose sum is σ = 373526244000. Its totient is φ = 34884495360.

The previous prime is 116605729087. The next prime is 116605729181. The reversal of 116605729152 is 251927506611.

It is a happy number.

116605729152 is a `hidden beast` number, since 1 + 1 + 6 + 60 + 572 + 9 + 15 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 116605729098 and 116605729107.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 11006674 + ... + 11017262.

It is an arithmetic number, because the mean of its divisors is an integer number (1296966125).

Almost surely, 2^116605729152 is an apocalyptic number.

116605729152 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 116605729152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186763122000).

116605729152 is an abundant number, since it is smaller than the sum of its proper divisors (256920514848).

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

116605729152 is a wasteful number, since it uses less digits than its factorization.

116605729152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10710 (or 10684 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 116605729152 in words is "one hundred sixteen billion, six hundred five million, seven hundred twenty-nine thousand, one hundred fifty-two".