116388636672 has 384 divisors, whose sum is σ = 389572485120. Its totient is φ = 30019092480.

The previous prime is 116388636671. The next prime is 116388636691. The reversal of 116388636672 is 276636883611.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (116388636671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74274033 + ... + 74275599.

It is an arithmetic number, because the mean of its divisors is an integer number (1014511680).

Almost surely, 2^116388636672 is an apocalyptic number.

116388636672 is a gapful number since it is divisible by the number (12) 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 116388636672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194786242560).

116388636672 is an abundant number, since it is smaller than the sum of its proper divisors (273183848448).

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

116388636672 is a wasteful number, since it uses less digits than its factorization.

116388636672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767 (or 1747 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 57.

The spelling of 116388636672 in words is "one hundred sixteen billion, three hundred eighty-eight million, six hundred thirty-six thousand, six hundred seventy-two".