290997630262656 has 896 divisors, whose sum is σ = 889015692533760. Its totient is φ = 94820369817600.

The previous prime is 290997630262637. The next prime is 290997630262657. The reversal of 290997630262656 is 656262036799092.

290997630262656 is a `hidden beast` number, since 290 + 9 + 9 + 7 + 6 + 302 + 6 + 26 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290997630262657) 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 111 ways as a sum of consecutive naturals, for example, 245153858095 + ... + 245153859281.

Almost surely, 2^{290997630262656} 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 290997630262656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444507846266880).

290997630262656 is an abundant number, since it is smaller than the sum of its proper divisors (598018062271104).

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

290997630262656 is a wasteful number, since it uses less digits than its factorization.

290997630262656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 793618560, while the sum is 72.

The spelling of 290997630262656 in words is "two hundred ninety trillion, nine hundred ninety-seven billion, six hundred thirty million, two hundred sixty-two thousand, six hundred fifty-six".