116405216928 has 864 divisors, whose sum is σ = 464917864320. Its totient is φ = 27137617920.

The previous prime is 116405216923. The next prime is 116405216929. The reversal of 116405216928 is 829612504611.

116405216928 is a `hidden beast` number, since 1 + 1 + 6 + 40 + 521 + 69 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (116405216923) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 74665813 + ... + 74667371.

It is an arithmetic number, because the mean of its divisors is an integer number (538099380).

Almost surely, 2^116405216928 is an apocalyptic number.

116405216928 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 116405216928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232458932160).

116405216928 is an abundant number, since it is smaller than the sum of its proper divisors (348512647392).

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

116405216928 is a wasteful number, since it uses less digits than its factorization.

116405216928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

It can be divided in two parts, 116405 and 216928, that added together give a palindrome (333333).

The spelling of 116405216928 in words is "one hundred sixteen billion, four hundred five million, two hundred sixteen thousand, nine hundred twenty-eight".