16946268768 has 576 divisors, whose sum is σ = 60267130560. Its totient is φ = 4598415360.

The previous prime is 16946268767. The next prime is 16946268769. The reversal of 16946268768 is 86786264961.

16946268768 is a `hidden beast` number, since 169 + 462 + 6 + 8 + 7 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (16946268767) and next prime (16946268769).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16946268767) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50285496 + ... + 50285832.

It is an arithmetic number, because the mean of its divisors is an integer number (104630435).

Almost surely, 2^16946268768 is an apocalyptic number.

16946268768 is a gapful number since it is divisible by the number (18) 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 16946268768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30133565280).

16946268768 is an abundant number, since it is smaller than the sum of its proper divisors (43320861792).

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

16946268768 is a wasteful number, since it uses less digits than its factorization.

16946268768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 403 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 16946268768 in words is "sixteen billion, nine hundred forty-six million, two hundred sixty-eight thousand, seven hundred sixty-eight".