16944049179225 has 243 divisors, whose sum is σ = 35662881950397. Its totient is φ = 7667805720960.

The previous prime is 16944049179191. The next prime is 16944049179227. The reversal of 16944049179225 is 52297194044961.

The square root of 16944049179225 is 4116315.

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

16944049179225 is a `hidden beast` number, since 1 + 69 + 440 + 49 + 1 + 7 + 92 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3907212428889 + 13036836750336 = 1976667^2 + 3610656^2 .

It is not a de Polignac number, because 16944049179225 - 2²⁷ = 16943914961497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (16944049179227) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 85145975676 + ... + 85145975874.

Almost surely, 2^{16944049179225} is an apocalyptic number.

16944049179225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

16944049179225 is the 4116315-th square number.

16944049179225 is the 2058158-th centered octagonal number.

It is an amenable number.

16944049179225 is an abundant number, since it is smaller than the sum of its proper divisors (18718832771172).

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

16944049179225 is an equidigital number, since it uses as much as digits as its factorization.

16944049179225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 16944049179225 in words is "sixteen trillion, nine hundred forty-four billion, forty-nine million, one hundred seventy-nine thousand, two hundred twenty-five".