116146022400 has 432 divisors, whose sum is σ = 417951179100. Its totient is φ = 30824202240.

The previous prime is 116146022389. The next prime is 116146022471. The reversal of 116146022400 is 4220641611.

116146022400 is a `hidden beast` number, since 1 + 1 + 6 + 14 + 602 + 2 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1241293824 + 114904728576 = 35232^2 + 338976^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 123954732 + ... + 123955668.

Almost surely, 2^116146022400 is an apocalyptic number.

116146022400 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 116146022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208975589550).

116146022400 is an abundant number, since it is smaller than the sum of its proper divisors (301805156700).

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

116146022400 is a wasteful number, since it uses less digits than its factorization.

116146022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 116146022400 in words is "one hundred sixteen billion, one hundred forty-six million, twenty-two thousand, four hundred".