16478865662976 has 704 divisors, whose sum is σ = 52924100908800. Its totient is φ = 5047411802112.

The previous prime is 16478865662923. The next prime is 16478865662993. The reversal of 16478865662976 is 67926656887461.

16478865662976 is a `hidden beast` number, since 1 + 6 + 47 + 8 + 8 + 6 + 566 + 2 + 9 + 7 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 16478865662895 and 16478865662904.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7249829776 + ... + 7249832048.

It is an arithmetic number, because the mean of its divisors is an integer number (75176279700).

Almost surely, 2^{16478865662976} is an apocalyptic number.

16478865662976 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 16478865662976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26462050454400).

16478865662976 is an abundant number, since it is smaller than the sum of its proper divisors (36445235245824).

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

16478865662976 is a wasteful number, since it uses less digits than its factorization.

16478865662976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2731 (or 2707 counting only the distinct ones).

The product of its digits is 8778792960, while the sum is 81.

The spelling of 16478865662976 in words is "sixteen trillion, four hundred seventy-eight billion, eight hundred sixty-five million, six hundred sixty-two thousand, nine hundred seventy-six".