16914457572961 has 9 divisors (see below), whose sum is σ = 18315713136339. Its totient is φ = 15613296099336.

The previous prime is 16914457572953. The next prime is 16914457572979. The reversal of 16914457572961 is 16927575441961.

The square root of 16914457572961 is 4112719.

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., 2502138694225 + 14412318878736 = 1581815^2 + 3796356^2 .

It is not a de Polignac number, because 16914457572961 - 2³ = 16914457572953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16914457572941) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 53307166 + ... + 53623528.

It is an arithmetic number, because the mean of its divisors is an integer number (2035079237371).

Almost surely, 2^{16914457572961} is an apocalyptic number.

16914457572961 is the 4112719-th square number.

16914457572961 is the 2056360-th centered octagonal number.

It is an amenable number.

16914457572961 is a deficient number, since it is larger than the sum of its proper divisors (1401255563378).

16914457572961 is an frugal number, since it uses more digits than its factorization.

16914457572961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632752 (or 316376 counting only the distinct ones).

The product of its digits is 114307200, while the sum is 67.

The spelling of 16914457572961 in words is "sixteen trillion, nine hundred fourteen billion, four hundred fifty-seven million, five hundred seventy-two thousand, nine hundred sixty-one".