15677553141121 has 9 divisors (see below), whose sum is σ = 15696839737929. Its totient is φ = 15658290227136.

The previous prime is 15677553141097. The next prime is 15677553141149. The reversal of 15677553141121 is 12114135577651.

The square root of 15677553141121 is 3959489.

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 1346785781121 + 14330767360000 = 1160511^2 + 3785600^2 .

It is not a de Polignac number, because 15677553141121 - 2⁷ = 15677553140993 is a prime.

It is a super-2 number, since 2×15677553141121² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15677553141161) 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, 4090150221 + ... + 4090154053.

Almost surely, 2^{15677553141121} is an apocalyptic number.

15677553141121 is the 3959489-th square number.

15677553141121 is the 1979745-th centered octagonal number.

It is an amenable number.

15677553141121 is a deficient number, since it is larger than the sum of its proper divisors (19286596808).

15677553141121 is an frugal number, since it uses more digits than its factorization.

15677553141121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9732 (or 4866 counting only the distinct ones).

The product of its digits is 882000, while the sum is 49.

Multiplying 15677553141121 by its sum of digits (49), we get a square (768200103914929 = 27716423²).

The spelling of 15677553141121 in words is "fifteen trillion, six hundred seventy-seven billion, five hundred fifty-three million, one hundred forty-one thousand, one hundred twenty-one".