16938679716 has 192 divisors, whose sum is σ = 52508736000. Its totient is φ = 4619704320.

The previous prime is 16938679601. The next prime is 16938679739. The reversal of 16938679716 is 61797683961.

16938679716 is a `hidden beast` number, since 169 + 386 + 7 + 97 + 1 + 6 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1946896 + ... + 1955576.

It is an arithmetic number, because the mean of its divisors is an integer number (273483000).

Almost surely, 2^16938679716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16938679716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26254368000).

16938679716 is an abundant number, since it is smaller than the sum of its proper divisors (35570056284).

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

16938679716 is a wasteful number, since it uses less digits than its factorization.

16938679716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8819 (or 8811 counting only the distinct ones).

The product of its digits is 20575296, while the sum is 63.

The spelling of 16938679716 in words is "sixteen billion, nine hundred thirty-eight million, six hundred seventy-nine thousand, seven hundred sixteen".