116864321760 has 144 divisors (see below), whose sum is σ = 404262868464. Its totient is φ = 30736889856.

The previous prime is 116864321731. The next prime is 116864321767. The reversal of 116864321760 is 67123468611.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116864321767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 450742 + ... + 660981.

It is an arithmetic number, because the mean of its divisors is an integer number (2807381031).

Almost surely, 2^116864321760 is an apocalyptic number.

116864321760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116864321760 is an abundant number, since it is smaller than the sum of its proper divisors (287398546704).

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

116864321760 is a wasteful number, since it uses less digits than its factorization.

116864321760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111817 (or 1111806 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 116864321760 in words is "one hundred sixteen billion, eight hundred sixty-four million, three hundred twenty-one thousand, seven hundred sixty".