290342000396448 has 576 divisors, whose sum is σ = 1108714169751552. Its totient is φ = 69603951421440.

The previous prime is 290342000396417. The next prime is 290342000396449. The reversal of 290342000396448 is 844693000243092.

290342000396448 is a `hidden beast` number, since 2 + 9 + 0 + 3 + 4 + 200 + 0 + 396 + 4 + 48 = 666.

It is a super-2 number, since 2×290342000396448² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 290342000396394 and 290342000396403.

It is not an unprimeable number, because it can be changed into a prime (290342000396449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2537742061 + ... + 2537856467.

It is an arithmetic number, because the mean of its divisors is an integer number (1924850989152).

Almost surely, 2^{290342000396448} is an apocalyptic number.

290342000396448 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 290342000396448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554357084875776).

290342000396448 is an abundant number, since it is smaller than the sum of its proper divisors (818372169355104).

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

290342000396448 is a wasteful number, since it uses less digits than its factorization.

290342000396448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123257 (or 123246 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 290342000396448 in words is "two hundred ninety trillion, three hundred forty-two billion, three hundred ninety-six thousand, four hundred forty-eight".