116647745760 has 2304 divisors, whose sum is σ = 567573350400. Its totient is φ = 22072393728.

The previous prime is 116647745759. The next prime is 116647745761. The reversal of 116647745760 is 67547746611.

116647745760 is a `hidden beast` number, since 1 + 1 + 6 + 64 + 7 + 7 + 4 + 576 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (116647745759) and next prime (116647745761).

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

It is a junction number, because it is equal to n+sod(n) for n = 116647745697 and 116647745706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116647745761) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 1202554032 + ... + 1202554128.

It is an arithmetic number, because the mean of its divisors is an integer number (246342600).

Almost surely, 2^116647745760 is an apocalyptic number.

116647745760 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 116647745760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283786675200).

116647745760 is an abundant number, since it is smaller than the sum of its proper divisors (450925604640).

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

116647745760 is a wasteful number, since it uses less digits than its factorization.

116647745760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 116647745760 in words is "one hundred sixteen billion, six hundred forty-seven million, seven hundred forty-five thousand, seven hundred sixty".