16916511714048 has 216 divisors, whose sum is σ = 51348232353600. Its totient is φ = 5341361190912.

The previous prime is 16916511714041. The next prime is 16916511714079. The reversal of 16916511714048 is 84041711561961.

16916511714048 is a `hidden beast` number, since 1 + 6 + 9 + 1 + 65 + 1 + 171 + 404 + 8 = 666.

It is a super-3 number, since 3×16916511714048³ (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16916511713985 and 16916511714003.

It is not an unprimeable number, because it can be changed into a prime (16916511714041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 414406983 + ... + 414447801.

Almost surely, 2^{16916511714048} is an apocalyptic number.

16916511714048 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 16916511714048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25674116176800).

16916511714048 is an abundant number, since it is smaller than the sum of its proper divisors (34431720639552).

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

16916511714048 is a wasteful number, since it uses less digits than its factorization.

16916511714048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50327 (or 50310 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 16916511714048 in words is "sixteen trillion, nine hundred sixteen billion, five hundred eleven million, seven hundred fourteen thousand, forty-eight".