16353685272961 has 9 divisors (see below), whose sum is σ = 16406723022249. Its totient is φ = 16300818466224.

The previous prime is 16353685272901. The next prime is 16353685272979. The reversal of 16353685272961 is 16927258635361.

The square root of 16353685272961 is 4043969.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3304829490561 + 13048855782400 = 1817919^2 + 3612320^2 .

It is a de Polignac number, because none of the positive numbers 2^k-16353685272961 is a prime.

It is a super-2 number, since 2×16353685272961² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 16353685272893 and 16353685272902.

It is not an unprimeable number, because it can be changed into a prime (16353685272901) 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, 1281931795 + ... + 1281944551.

Almost surely, 2^{16353685272961} is an apocalyptic number.

16353685272961 is the 4043969-th square number.

16353685272961 is the 2021985-th centered octagonal number.

It is an amenable number.

16353685272961 is a deficient number, since it is larger than the sum of its proper divisors (53037749288).

16353685272961 is an frugal number, since it uses more digits than its factorization.

16353685272961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26148 (or 13074 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 64.

The spelling of 16353685272961 in words is "sixteen trillion, three hundred fifty-three billion, six hundred eighty-five million, two hundred seventy-two thousand, nine hundred sixty-one".