116211322368000 has 624 divisors, whose sum is σ = 419468297897376. Its totient is φ = 30949824921600.

The previous prime is 116211322367927. The next prime is 116211322368121. The reversal of 116211322368000 is 863223112611.

116211322368000 is a `hidden beast` number, since 1 + 1 + 621 + 1 + 3 + 2 + 23 + 6 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 3672560179 + ... + 3672591821.

It is an arithmetic number, because the mean of its divisors is an integer number (672224836374).

Almost surely, 2^{116211322368000} is an apocalyptic number.

116211322368000 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 116211322368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209734148948688).

116211322368000 is an abundant number, since it is smaller than the sum of its proper divisors (303256975529376).

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

116211322368000 is an equidigital number, since it uses as much as digits as its factorization.

116211322368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32485 (or 32450 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 116211322368000 in words is "one hundred sixteen trillion, two hundred eleven billion, three hundred twenty-two million, three hundred sixty-eight thousand".