291227961672 has 36 divisors (see below), whose sum is σ = 788754798195. Its totient is φ = 97074460848.

The previous prime is 291227961671. The next prime is 291227961679. The reversal of 291227961672 is 276169722192.

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.

291227961672 is a `hidden beast` number, since 2 + 9 + 12 + 2 + 7 + 9 + 616 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 145613980836 + 145613980836 = 381594^2 + 381594^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=381594.

It is not an unprimeable number, because it can be changed into a prime (291227961671) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4547329 + ... + 4610927.

Almost surely, 2^291227961672 is an apocalyptic number.

It is an amenable number.

291227961672 is an abundant number, since it is smaller than the sum of its proper divisors (497526836523).

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

291227961672 is an frugal number, since it uses more digits than its factorization.

291227961672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127210 (or 63604 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The spelling of 291227961672 in words is "two hundred ninety-one billion, two hundred twenty-seven million, nine hundred sixty-one thousand, six hundred seventy-two".