16877110046976 has 405 divisors, whose sum is σ = 51502851719319. Its totient is φ = 5496936680448.

The previous prime is 16877110046917. The next prime is 16877110046989. The reversal of 16877110046976 is 67964001177861.

The square root of 16877110046976 is 4108176.

It is a perfect power (a square), and thus also a powerful number.

16877110046976 is a `hidden beast` number, since 1 + 68 + 7 + 7 + 1 + 100 + 469 + 7 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 27804134865 + ... + 27804135471.

Almost surely, 2^{16877110046976} is an apocalyptic number.

16877110046976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16877110046976 is the 4108176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16877110046976

16877110046976 is an abundant number, since it is smaller than the sum of its proper divisors (34625741672343).

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

16877110046976 is an frugal number, since it uses more digits than its factorization.

16877110046976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 63.

The spelling of 16877110046976 in words is "sixteen trillion, eight hundred seventy-seven billion, one hundred ten million, forty-six thousand, nine hundred seventy-six".