291055934016 has 315 divisors, whose sum is σ = 884617290579. Its totient is φ = 94623282432.

The previous prime is 291055933969. The next prime is 291055934027. The reversal of 291055934016 is 610439550192.

The square root of 291055934016 is 539496.

It is a perfect power (a square), and thus also a powerful number.

291055934016 is a `hidden beast` number, since 2 + 9 + 1 + 0 + 5 + 593 + 40 + 16 = 666.

It is a super-2 number, since 2×291055934016² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2291778945 + ... + 2291779071.

Almost surely, 2^291055934016 is an apocalyptic number.

291055934016 is the 539496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 291055934016

291055934016 is an abundant number, since it is smaller than the sum of its proper divisors (593561356563).

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

291055934016 is an frugal number, since it uses more digits than its factorization.

291055934016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 291055934016 in words is "two hundred ninety-one billion, fifty-five million, nine hundred thirty-four thousand, sixteen".