1214335676961 has 45 divisors (see below), whose sum is σ = 1994088345249. Its totient is φ = 735894898200.

The previous prime is 1214335676933. The next prime is 1214335676989. The reversal of 1214335676961 is 1696765334121.

The square root of 1214335676961 is 1101969.

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

1214335676961 is a `hidden beast` number, since 1 + 2 + 1 + 433 + 56 + 76 + 96 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (1214335676933) and next prime (1214335676989).

It is not a de Polignac number, because 1214335676961 - 2⁷ = 1214335676833 is a prime.

It is a super-2 number, since 2×1214335676961² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1214335676898 and 1214335676907.

It is not an unprimeable number, because it can be changed into a prime (1214335676461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 109089366 + ... + 109100496.

Almost surely, 2^{1214335676961} is an apocalyptic number.

1214335676961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1214335676961 is the 1101969-th square number.

1214335676961 is the 550985-th centered octagonal number.

It is an amenable number.

1214335676961 is a deficient number, since it is larger than the sum of its proper divisors (779752668288).

1214335676961 is an frugal number, since it uses more digits than its factorization.

1214335676961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22296 (or 11145 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The spelling of 1214335676961 in words is "one trillion, two hundred fourteen billion, three hundred thirty-five million, six hundred seventy-six thousand, nine hundred sixty-one".