16939952064 has 448 divisors, whose sum is σ = 58989772800. Its totient is φ = 4666899456.

The previous prime is 16939952027. The next prime is 16939952069. The reversal of 16939952064 is 46025993961.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 16939952064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16939952069) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47186317 + ... + 47186675.

It is an arithmetic number, because the mean of its divisors is an integer number (131673600).

Almost surely, 2^16939952064 is an apocalyptic number.

16939952064 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 16939952064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29494886400).

16939952064 is an abundant number, since it is smaller than the sum of its proper divisors (42049820736).

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

16939952064 is a wasteful number, since it uses less digits than its factorization.

16939952064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 16939952064 in words is "sixteen billion, nine hundred thirty-nine million, nine hundred fifty-two thousand, sixty-four".