290369506613824 has 189 divisors, whose sum is σ = 641343499785289. Its totient is φ = 130340052958720.

The previous prime is 290369506613773. The next prime is 290369506613827. The reversal of 290369506613824 is 428316605963092.

The square root of 290369506613824 is 17040232.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 99400102401600 + 190969404212224 = 9969960^2 + 13819168^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (290369506613827) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 124461853362 + ... + 124461855694.

Almost surely, 2^{290369506613824} is an apocalyptic number.

290369506613824 is the 17040232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290369506613824

290369506613824 is an abundant number, since it is smaller than the sum of its proper divisors (350973993171465).

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

290369506613824 is an frugal number, since it uses more digits than its factorization.

290369506613824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4866 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 64.

290369506613824 divided by its sum of digits (64) gives a square (4537023540841 = 2130029²).

The spelling of 290369506613824 in words is "two hundred ninety trillion, three hundred sixty-nine billion, five hundred six million, six hundred thirteen thousand, eight hundred twenty-four".