16649664160000 has 225 divisors, whose sum is σ = 41944865186455. Its totient is φ = 6593926400000.

The previous prime is 16649664159893. The next prime is 16649664160013. The reversal of 16649664160000 is 6146694661.

The square root of 16649664160000 is 4080400.

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

It can be written as a sum of positive squares in 12 ways, for example, as 6623169896704 + 10026494263296 = 2573552^2 + 3166464^2 .

It is a super-2 number, since 2×16649664160000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 164848159950 + ... + 164848160050.

Almost surely, 2^{16649664160000} is an apocalyptic number.

16649664160000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16649664160000 is the 4080400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16649664160000

16649664160000 is an abundant number, since it is smaller than the sum of its proper divisors (25295201026455).

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

16649664160000 is an frugal number, since it uses more digits than its factorization.

16649664160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 49.

Multiplying 16649664160000 by its sum of digits (49), we get a square (815833543840000 = 28562800²).

The spelling of 16649664160000 in words is "sixteen trillion, six hundred forty-nine billion, six hundred sixty-four million, one hundred sixty thousand".