290946819680016 has 320 divisors, whose sum is σ = 776994285182976. Its totient is φ = 93771025920000.

The previous prime is 290946819679979. The next prime is 290946819680029. The reversal of 290946819680016 is 610086918649092.

It is a super-4 number, since 4×290946819680016⁴ (a number of 59 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67709287980 + ... + 67709292276.

Almost surely, 2^{290946819680016} 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 290946819680016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388497142591488).

290946819680016 is an abundant number, since it is smaller than the sum of its proper divisors (486047465502960).

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

290946819680016 is a wasteful number, since it uses less digits than its factorization.

290946819680016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5710 (or 5704 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 69.

The spelling of 290946819680016 in words is "two hundred ninety trillion, nine hundred forty-six billion, eight hundred nineteen million, six hundred eighty thousand, sixteen".