291640228992 has 216 divisors, whose sum is σ = 976671170865. Its totient is φ = 83289120768.

The previous prime is 291640228991. The next prime is 291640229029. The reversal of 291640228992 is 299822046192.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

291640228992 is a `hidden beast` number, since 291 + 6 + 40 + 228 + 9 + 92 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 236872996416 + 54767232576 = 486696^2 + 234024^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=381864.

It is not an unprimeable number, because it can be changed into a prime (291640228991) 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, 128305168 + ... + 128307440.

Almost surely, 2^291640228992 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 291640228992

291640228992 is an abundant number, since it is smaller than the sum of its proper divisors (685030941873).

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

291640228992 is an frugal number, since it uses more digits than its factorization.

291640228992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4580 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 291640228992 in words is "two hundred ninety-one billion, six hundred forty million, two hundred twenty-eight thousand, nine hundred ninety-two".