287114955561 has 288 divisors, whose sum is σ = 557955216000. Its totient is φ = 146386372608.

The previous prime is 287114955553. The next prime is 287114955571. The reversal of 287114955561 is 165559411782.

287114955561 is a `hidden beast` number, since 2 + 8 + 71 + 1 + 4 + 9 + 5 + 5 + 561 = 666.

It is not a de Polignac number, because 287114955561 - 2³ = 287114955553 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 287114955498 and 287114955507.

It is not an unprimeable number, because it can be changed into a prime (287114955511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 346338495 + ... + 346339323.

It is an arithmetic number, because the mean of its divisors is an integer number (1937344500).

Almost surely, 2^287114955561 is an apocalyptic number.

287114955561 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

287114955561 is a deficient number, since it is larger than the sum of its proper divisors (270840260439).

287114955561 is a wasteful number, since it uses less digits than its factorization.

287114955561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 944 counting only the distinct ones).

The product of its digits is 3024000, while the sum is 54.

The spelling of 287114955561 in words is "two hundred eighty-seven billion, one hundred fourteen million, nine hundred fifty-five thousand, five hundred sixty-one".