116628035794128 has 320 divisors, whose sum is σ = 343120583520000. Its totient is φ = 37916461449216.

The previous prime is 116628035794051. The next prime is 116628035794133. The reversal of 116628035794128 is 821497530826611.

It is a happy number.

116628035794128 is a `hidden beast` number, since 1 + 16 + 6 + 2 + 8 + 0 + 3 + 579 + 41 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6805618776 + ... + 6805635912.

It is an arithmetic number, because the mean of its divisors is an integer number (1072251823500).

It is a 1-persistent number, because it is pandigital, but 2⋅116628035794128 = 233256071588256 is not.

Almost surely, 2^{116628035794128} is an apocalyptic number.

116628035794128 is a gapful number since it is divisible by the number (18) 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 116628035794128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171560291760000).

116628035794128 is an abundant number, since it is smaller than the sum of its proper divisors (226492547725872).

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

116628035794128 is a wasteful number, since it uses less digits than its factorization.

116628035794128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19299 (or 19287 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 116628035794128 in words is "one hundred sixteen trillion, six hundred twenty-eight billion, thirty-five million, seven hundred ninety-four thousand, one hundred twenty-eight".