290881822112 has 96 divisors (see below), whose sum is σ = 692559673344. Its totient is φ = 117563846400.

The previous prime is 290881822057. The next prime is 290881822117. The reversal of 290881822112 is 211228188092.

It is a super-2 number, since 2×290881822112² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (290881822117) 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 15 ways as a sum of consecutive naturals, for example, 31814 + ... + 763397.

It is an arithmetic number, because the mean of its divisors is an integer number (7214163264).

Almost surely, 2^290881822112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290881822112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346279836672).

290881822112 is an abundant number, since it is smaller than the sum of its proper divisors (401677851232).

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

290881822112 is a wasteful number, since it uses less digits than its factorization.

290881822112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795322 (or 795314 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 44.

The spelling of 290881822112 in words is "two hundred ninety billion, eight hundred eighty-one million, eight hundred twenty-two thousand, one hundred twelve".