162318326400 has 288 divisors, whose sum is σ = 592663019520. Its totient is φ = 42277939200.

The previous prime is 162318326393. The next prime is 162318326407. The reversal of 162318326400 is 4623813261.

162318326400 is a `hidden beast` number, since 1 + 6 + 2 + 3 + 1 + 8 + 3 + 2 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (162318326393) and next prime (162318326407).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (162318326407) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1172865 + ... + 1303935.

Almost surely, 2^162318326400 is an apocalyptic number.

162318326400 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 162318326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296331509760).

162318326400 is an abundant number, since it is smaller than the sum of its proper divisors (430344693120).

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

162318326400 is a wasteful number, since it uses less digits than its factorization.

162318326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131144 (or 131124 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 162318326400 in words is "one hundred sixty-two billion, three hundred eighteen million, three hundred twenty-six thousand, four hundred".