16661287166976 has 165 divisors, whose sum is σ = 49757371567761. Its totient is φ = 5553370533888.

The previous prime is 16661287166959. The next prime is 16661287167029. The reversal of 16661287166976 is 67966178216661.

The square root of 16661287166976 is 4081824.

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

It can be written as a sum of positive squares in only one way, i.e., 14463113241600 + 2198173925376 = 3803040^2 + 1482624^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1175558226 + ... + 1175572398.

Almost surely, 2^{16661287166976} is an apocalyptic number.

16661287166976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16661287166976 is the 4081824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16661287166976

16661287166976 is an abundant number, since it is smaller than the sum of its proper divisors (33096084400785).

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

16661287166976 is an frugal number, since it uses more digits than its factorization.

16661287166976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28378 (or 14178 counting only the distinct ones).

The product of its digits is 329204736, while the sum is 72.

The spelling of 16661287166976 in words is "sixteen trillion, six hundred sixty-one billion, two hundred eighty-seven million, one hundred sixty-six thousand, nine hundred seventy-six".