288485042976 has 288 divisors, whose sum is σ = 896215123440. Its totient is φ = 87493312512.

The previous prime is 288485042969. The next prime is 288485042983. The reversal of 288485042976 is 679240584882.

288485042976 is a `hidden beast` number, since 2 + 88 + 48 + 504 + 2 + 9 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (288485042969) and next prime (288485042983).

It can be written as a sum of positive squares in 8 ways, for example, as 59545760400 + 228939282576 = 244020^2 + 478476^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97690716 + ... + 97693668.

Almost surely, 2^288485042976 is an apocalyptic number.

288485042976 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288485042976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448107561720).

288485042976 is an abundant number, since it is smaller than the sum of its proper divisors (607730080464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

288485042976 is a wasteful number, since it uses less digits than its factorization.

288485042976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3348 (or 3337 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 288485042976 in words is "two hundred eighty-eight billion, four hundred eighty-five million, forty-two thousand, nine hundred seventy-six".