1632161313000 has 1536 divisors, whose sum is σ = 6448178880000. Its totient is φ = 380712960000.

The previous prime is 1632161312959. The next prime is 1632161313001. The reversal of 1632161313000 is 3131612361.

1632161313000 is a `hidden beast` number, since 1 + 6 + 32 + 1 + 613 + 13 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1632161313001) 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 383 ways as a sum of consecutive naturals, for example, 14973956946 + ... + 14973957054.

It is an arithmetic number, because the mean of its divisors is an integer number (4198033125).

Almost surely, 2^{1632161313000} is an apocalyptic number.

1632161313000 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 1632161313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3224089440000).

1632161313000 is an abundant number, since it is smaller than the sum of its proper divisors (4816017567000).

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

1632161313000 is a wasteful number, since it uses less digits than its factorization.

1632161313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 1632161313000 its reverse (3131612361), we get a palindrome (1635292925361).

The spelling of 1632161313000 in words is "one trillion, six hundred thirty-two billion, one hundred sixty-one million, three hundred thirteen thousand".