16935477362048 has 256 divisors, whose sum is σ = 41167202611200. Its totient is φ = 6778016464896.

The previous prime is 16935477362039. The next prime is 16935477362093. The reversal of 16935477362048 is 84026377453961.

16935477362048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3371583665 + ... + 3371588687.

It is an arithmetic number, because the mean of its divisors is an integer number (160809385200).

It is a 1-persistent number, because it is pandigital, but 2⋅16935477362048 = 33870954724096 is not.

Almost surely, 2^{16935477362048} 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 16935477362048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20583601305600).

16935477362048 is an abundant number, since it is smaller than the sum of its proper divisors (24231725249152).

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

16935477362048 is a wasteful number, since it uses less digits than its factorization.

16935477362048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7849 (or 7837 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 65.

The spelling of 16935477362048 in words is "sixteen trillion, nine hundred thirty-five billion, four hundred seventy-seven million, three hundred sixty-two thousand, forty-eight".