116417333656800 has 3024 divisors, whose sum is σ = 519636084568272. Its totient is φ = 25155720806400.

The previous prime is 116417333656763. The next prime is 116417333656823. The reversal of 116417333656800 is 8656333714611.

116417333656800 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 1 + 73 + 3 + 3 + 6 + 568 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 39370080922 + ... + 39370083878.

It is an arithmetic number, because the mean of its divisors is an integer number (171837329553).

Almost surely, 2^{116417333656800} is an apocalyptic number.

116417333656800 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 116417333656800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259818042284136).

116417333656800 is an abundant number, since it is smaller than the sum of its proper divisors (403218750911472).

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

116417333656800 is a wasteful number, since it uses less digits than its factorization.

116417333656800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3061 (or 3014 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 116417333656800 in words is "one hundred sixteen trillion, four hundred seventeen billion, three hundred thirty-three million, six hundred fifty-six thousand, eight hundred".