290226452256 has 72 divisors (see below), whose sum is σ = 888818521500. Its totient is φ = 89300445696.

The previous prime is 290226452239. The next prime is 290226452287. The reversal of 290226452256 is 652254622092.

It is a happy number.

290226452256 is a `hidden beast` number, since 2 + 90 + 2 + 264 + 52 + 256 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 276697040400 + 13529411856 = 526020^2 + 116316^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×290226452256³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38755131 + ... + 38762618.

Almost surely, 2^290226452256 is an apocalyptic number.

290226452256 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

290226452256 is an abundant number, since it is smaller than the sum of its proper divisors (598592069244).

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

290226452256 is a wasteful number, since it uses less digits than its factorization.

290226452256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77517778 (or 77517767 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 290226452256 in words is "two hundred ninety billion, two hundred twenty-six million, four hundred fifty-two thousand, two hundred fifty-six".