16783388338761 has 48 divisors (see below), whose sum is σ = 27302053908480. Its totient is φ = 9842768460000.

The previous prime is 16783388338727. The next prime is 16783388338781.

It is a happy number.

16783388338761 is a `hidden beast` number, since 1 + 6 + 7 + 83 + 38 + 83 + 387 + 61 = 666.

16783388338761 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 16783388338761 - 2⁶ = 16783388338697 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 16783388338761.

It is not an unprimeable number, because it can be changed into a prime (16783388338781) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35732286 + ... + 36198936.

It is an arithmetic number, because the mean of its divisors is an integer number (568792789760).

Almost surely, 2^{16783388338761} is an apocalyptic number.

16783388338761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16783388338761 is a deficient number, since it is larger than the sum of its proper divisors (10518665569719).

16783388338761 is a wasteful number, since it uses less digits than its factorization.

16783388338761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478418 (or 478415 counting only the distinct ones).

The product of its digits is 585252864, while the sum is 72.

The spelling of 16783388338761 in words is "sixteen trillion, seven hundred eighty-three billion, three hundred eighty-eight million, three hundred thirty-eight thousand, seven hundred sixty-one".