16948600704 has 768 divisors, whose sum is σ = 64691827200. Its totient is φ = 4299816960.

The previous prime is 16948600667. The next prime is 16948600727. The reversal of 16948600704 is 40700684961.

16948600704 is a `hidden beast` number, since 169 + 486 + 0 + 0 + 7 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 16948600704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70326024 + ... + 70326264.

It is an arithmetic number, because the mean of its divisors is an integer number (84234150).

Almost surely, 2^16948600704 is an apocalyptic number.

16948600704 is a gapful number since it is divisible by the number (14) 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 16948600704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32345913600).

16948600704 is an abundant number, since it is smaller than the sum of its proper divisors (47743226496).

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

16948600704 is a wasteful number, since it uses less digits than its factorization.

16948600704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 16948600704 in words is "sixteen billion, nine hundred forty-eight million, six hundred thousand, seven hundred four".