16738638961 has 8 divisors (see below), whose sum is σ = 18303919200. Its totient is φ = 15180623040.

The previous prime is 16738638947. The next prime is 16738638971. The reversal of 16738638961 is 16983683761.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-16738638961 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 16738638896 and 16738638905.

It is not an unprimeable number, because it can be changed into a prime (16738638941) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1811256 + ... + 1820473.

It is an arithmetic number, because the mean of its divisors is an integer number (2287989900).

Almost surely, 2^16738638961 is an apocalyptic number.

16738638961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16738638961 is a deficient number, since it is larger than the sum of its proper divisors (1565280239).

16738638961 is a wasteful number, since it uses less digits than its factorization.

16738638961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3632159.

The product of its digits is 7838208, while the sum is 58.

The spelling of 16738638961 in words is "sixteen billion, seven hundred thirty-eight million, six hundred thirty-eight thousand, nine hundred sixty-one".