117303264000 has 1728 divisors, whose sum is σ = 511853247360. Its totient is φ = 25480396800.

The previous prime is 117303263933. The next prime is 117303264037. The reversal of 117303264000 is 462303711.

117303264000 is a `hidden beast` number, since 1 + 17 + 3 + 0 + 3 + 2 + 640 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1209311952 + ... + 1209312048.

It is an arithmetic number, because the mean of its divisors is an integer number (296211370).

Almost surely, 2^117303264000 is an apocalyptic number.

117303264000 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 117303264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255926623680).

117303264000 is an abundant number, since it is smaller than the sum of its proper divisors (394549983360).

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

117303264000 is a wasteful number, since it uses less digits than its factorization.

117303264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 117303264000 its reverse (462303711), we get a palindrome (117765567711).

The spelling of 117303264000 in words is "one hundred seventeen billion, three hundred three million, two hundred sixty-four thousand".