16923675136896 has 512 divisors, whose sum is σ = 56712146227200. Its totient is φ = 4962912768000.

The previous prime is 16923675136891. The next prime is 16923675136933. The reversal of 16923675136896 is 69863157632961.

16923675136896 is a `hidden beast` number, since 1 + 6 + 9 + 23 + 6 + 7 + 513 + 6 + 89 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16923675136891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142538676 + ... + 142657356.

It is an arithmetic number, because the mean of its divisors is an integer number (110765910600).

Almost surely, 2^{16923675136896} is an apocalyptic number.

16923675136896 is a gapful number since it is divisible by the number (16) 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 16923675136896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28356073113600).

16923675136896 is an abundant number, since it is smaller than the sum of its proper divisors (39788471090304).

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

16923675136896 is a wasteful number, since it uses less digits than its factorization.

16923675136896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118768 (or 118728 counting only the distinct ones).

The product of its digits is 529079040, while the sum is 72.

The spelling of 16923675136896 in words is "sixteen trillion, nine hundred twenty-three billion, six hundred seventy-five million, one hundred thirty-six thousand, eight hundred ninety-six".