116742312367200 has 864 divisors, whose sum is σ = 446119120111392. Its totient is φ = 28555960320000.

The previous prime is 116742312367189. The next prime is 116742312367201. The reversal of 116742312367200 is 2763213247611.

It is a happy number.

116742312367200 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 423 + 12 + 3 + 6 + 7 + 200 = 666.

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 (116742312367201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40947845775 + ... + 40947848625.

It is an arithmetic number, because the mean of its divisors is an integer number (516341574203).

Almost surely, 2^{116742312367200} is an apocalyptic number.

116742312367200 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 116742312367200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223059560055696).

116742312367200 is an abundant number, since it is smaller than the sum of its proper divisors (329376807744192).

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

116742312367200 is a wasteful number, since it uses less digits than its factorization.

116742312367200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5488 (or 5472 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 116742312367200 in words is "one hundred sixteen trillion, seven hundred forty-two billion, three hundred twelve million, three hundred sixty-seven thousand, two hundred".