116784678436416 has 819 divisors, whose sum is σ = 372686398155939. Its totient is φ = 36302199017472.

The previous prime is 116784678436409. The next prime is 116784678436417. The reversal of 116784678436416 is 614634876487611.

The square root of 116784678436416 is 10806696.

It is a perfect power (a square), and thus also a powerful number.

116784678436416 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 84 + 6 + 78 + 436 + 41 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26639224142400 + 90145454294016 = 5161320^2 + 9494496^2 .

It is a super-2 number, since 2×116784678436416² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (116784678436417) by changing a digit.

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 116 ways as a sum of consecutive naturals, for example, 1071419068170 + ... + 1071419068278.

Almost surely, 2^{116784678436416} is an apocalyptic number.

116784678436416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

116784678436416 is the 10806696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116784678436416

116784678436416 is an abundant number, since it is smaller than the sum of its proper divisors (255901719719523).

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

116784678436416 is an frugal number, since it uses more digits than its factorization.

116784678436416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 131 counting only the distinct ones).

The product of its digits is 780337152, while the sum is 72.

The spelling of 116784678436416 in words is "one hundred sixteen trillion, seven hundred eighty-four billion, six hundred seventy-eight million, four hundred thirty-six thousand, four hundred sixteen".