12955903523761 has 81 divisors (see below), whose sum is σ = 15302922009739. Its totient is φ = 10959547508800.

The previous prime is 12955903523743. The next prime is 12955903523777. The reversal of 12955903523761 is 16732530955921.

The square root of 12955903523761 is 3599431.

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., 624288034161 + 12331615489600 = 790119^2 + 3511640^2 .

It is not a de Polignac number, because 12955903523761 - 2⁵ = 12955903523729 is a prime.

It is a super-2 number, since 2×12955903523761² (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 = 12955903523696 and 12955903523705.

It is not an unprimeable number, because it can be changed into a prime (12955903523461) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 37336897590 + ... + 37336897936.

Almost surely, 2^{12955903523761} is an apocalyptic number.

12955903523761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12955903523761 is the 3599431-st square number.

12955903523761 is the 1799716-th centered octagonal number.

It is an amenable number.

12955903523761 is a deficient number, since it is larger than the sum of its proper divisors (2347018485978).

12955903523761 is an frugal number, since it uses more digits than its factorization.

12955903523761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 15309000, while the sum is 58.

The spelling of 12955903523761 in words is "twelve trillion, nine hundred fifty-five billion, nine hundred three million, five hundred twenty-three thousand, seven hundred sixty-one".