2318129948160 has 480 divisors, whose sum is σ = 8722540034208. Its totient is φ = 565558640640.

The previous prime is 2318129948149. The next prime is 2318129948209. The reversal of 2318129948160 is 618499218132.

It is a happy number.

2318129948160 is a `hidden beast` number, since 2 + 3 + 1 + 8 + 12 + 99 + 481 + 60 = 666.

2318129948160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 2318129948097 and 2318129948106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33811515 + ... + 33880005.

Almost surely, 2^{2318129948160} is an apocalyptic number.

2318129948160 is a gapful number since it is divisible by the number (20) 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 2318129948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4361270017104).

2318129948160 is an abundant number, since it is smaller than the sum of its proper divisors (6404410086048).

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

2318129948160 is a wasteful number, since it uses less digits than its factorization.

2318129948160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68646 (or 68627 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 2318129948160 in words is "two trillion, three hundred eighteen billion, one hundred twenty-nine million, nine hundred forty-eight thousand, one hundred sixty".