116221650400 has 108 divisors (see below), whose sum is σ = 290818402056. Its totient is φ = 45354265600.

The previous prime is 116221650371. The next prime is 116221650427. The reversal of 116221650400 is 4056122611.

It is a super-3 number, since 3×116221650400³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1301589 + ... + 1388011.

It is an arithmetic number, because the mean of its divisors is an integer number (2692762982).

Almost surely, 2^116221650400 is an apocalyptic number.

116221650400 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 116221650400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145409201028).

116221650400 is an abundant number, since it is smaller than the sum of its proper divisors (174596751656).

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

116221650400 is an equidigital number, since it uses as much as digits as its factorization.

116221650400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86525 (or 86471 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 116221650400 in words is "one hundred sixteen billion, two hundred twenty-one million, six hundred fifty thousand, four hundred".