16734643761 has 48 divisors (see below), whose sum is σ = 25635028608. Its totient is φ = 9684956160.

The previous prime is 16734643759. The next prime is 16734643769.

16734643761 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 16734643761 - 2¹ = 16734643759 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 16734643761.

It is not an unprimeable number, because it can be changed into a prime (16734643769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6452481 + ... + 6455073.

It is an arithmetic number, because the mean of its divisors is an integer number (534063096).

Almost surely, 2^16734643761 is an apocalyptic number.

16734643761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16734643761 is a deficient number, since it is larger than the sum of its proper divisors (8900384847).

16734643761 is a wasteful number, since it uses less digits than its factorization.

16734643761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3414 (or 3403 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 48.

The spelling of 16734643761 in words is "sixteen billion, seven hundred thirty-four million, six hundred forty-three thousand, seven hundred sixty-one".