290066638848 has 192 divisors, whose sum is σ = 884489074560. Its totient is φ = 82811289600.

The previous prime is 290066638783. The next prime is 290066638879. The reversal of 290066638848 is 848836660092.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 290066638791 and 290066638800.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92938728 + ... + 92941848.

It is an arithmetic number, because the mean of its divisors is an integer number (4606713930).

Almost surely, 2^290066638848 is an apocalyptic number.

290066638848 is a gapful number since it is divisible by the number (28) 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 290066638848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442244537280).

290066638848 is an abundant number, since it is smaller than the sum of its proper divisors (594422435712).

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

290066638848 is a wasteful number, since it uses less digits than its factorization.

290066638848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5314 (or 5294 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 60.

The spelling of 290066638848 in words is "two hundred ninety billion, sixty-six million, six hundred thirty-eight thousand, eight hundred forty-eight".