288214985961 has 60 divisors (see below), whose sum is σ = 489968812788. Its totient is φ = 163235423232.

The previous prime is 288214985911. The next prime is 288214985969. The reversal of 288214985961 is 169589412882.

288214985961 is a `hidden beast` number, since 2 + 8 + 82 + 1 + 498 + 5 + 9 + 61 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4572464400 + 283642521561 = 67620^2 + 532581^2 .

It is not a de Polignac number, because 288214985961 - 2¹⁸ = 288214723817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (288214985969) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2382801 + ... + 2500833.

Almost surely, 2^288214985961 is an apocalyptic number.

288214985961 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

288214985961 is a deficient number, since it is larger than the sum of its proper divisors (201753826827).

288214985961 is a wasteful number, since it uses less digits than its factorization.

288214985961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118180 (or 118156 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 63.

The spelling of 288214985961 in words is "two hundred eighty-eight billion, two hundred fourteen million, nine hundred eighty-five thousand, nine hundred sixty-one".