116733673443456 has 192 divisors, whose sum is σ = 345332344032000. Its totient is φ = 37831115980800.

The previous prime is 116733673443449. The next prime is 116733673443547. The reversal of 116733673443456 is 654344376337611.

116733673443456 is a `hidden beast` number, since 1 + 1 + 6 + 73 + 3 + 6 + 73 + 4 + 43 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 116733673443393 and 116733673443402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1036720 + ... + 15314768.

It is an arithmetic number, because the mean of its divisors is an integer number (1798605958500).

Almost surely, 2^{116733673443456} is an apocalyptic number.

116733673443456 is a gapful number since it is divisible by the number (16) 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 116733673443456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172666172016000).

116733673443456 is an abundant number, since it is smaller than the sum of its proper divisors (228598670588544).

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

116733673443456 is a wasteful number, since it uses less digits than its factorization.

116733673443456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14278267 (or 14278252 counting only the distinct ones).

The product of its digits is 274337280, while the sum is 63.

The spelling of 116733673443456 in words is "one hundred sixteen trillion, seven hundred thirty-three billion, six hundred seventy-three million, four hundred forty-three thousand, four hundred fifty-six".