16783136242992 has 240 divisors, whose sum is σ = 54762944857920. Its totient is φ = 4699342061568.

The previous prime is 16783136242921. The next prime is 16783136243011. The reversal of 16783136242992 is 29924263138761.

16783136242992 is a `hidden beast` number, since 1 + 6 + 7 + 8 + 313 + 6 + 24 + 299 + 2 = 666.

It is a super-2 number, since 2×16783136242992² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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, 9309678 + ... + 10965234.

It is an arithmetic number, because the mean of its divisors is an integer number (228178936908).

Almost surely, 2^{16783136242992} is an apocalyptic number.

16783136242992 is a gapful number since it is divisible by the number (12) 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 16783136242992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27381472428960).

16783136242992 is an abundant number, since it is smaller than the sum of its proper divisors (37979808614928).

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

16783136242992 is a wasteful number, since it uses less digits than its factorization.

16783136242992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655780 (or 1655771 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The spelling of 16783136242992 in words is "sixteen trillion, seven hundred eighty-three billion, one hundred thirty-six million, two hundred forty-two thousand, nine hundred ninety-two".