2117483136000 has 1056 divisors, whose sum is σ = 7890821452800. Its totient is φ = 545749401600.

The previous prime is 2117483135981. The next prime is 2117483136029. The reversal of 2117483136000 is 6313847112.

It is a happy number.

2117483136000 is a `hidden beast` number, since 2 + 1 + 1 + 7 + 48 + 3 + 1 + 3 + 600 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4823423781 + ... + 4823424219.

It is an arithmetic number, because the mean of its divisors is an integer number (7472368800).

Almost surely, 2^{2117483136000} is an apocalyptic number.

2117483136000 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 2117483136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3945410726400).

2117483136000 is an abundant number, since it is smaller than the sum of its proper divisors (5773338316800).

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

2117483136000 is a wasteful number, since it uses less digits than its factorization.

2117483136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 2117483136000 in words is "two trillion, one hundred seventeen billion, four hundred eighty-three million, one hundred thirty-six thousand".