116071771342921 has 9 divisors (see below), whose sum is σ = 116660132433261. Its totient is φ = 115486362925164.

The previous prime is 116071771342873. The next prime is 116071771342993. The reversal of 116071771342921 is 129243177170611.

It is a happy number.

The square root of 116071771342921 is 10773661.

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

It is not a de Polignac number, because 116071771342921 - 2¹⁵ = 116071771310153 is a prime.

It is a super-3 number, since 3×116071771342921³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (116071771343921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2143931470 + ... + 2143985608.

It is an arithmetic number, because the mean of its divisors is an integer number (12962236937029).

Almost surely, 2^{116071771342921} is an apocalyptic number.

116071771342921 is the 10773661-st square number.

116071771342921 is the 5386831-st centered octagonal number.

It is an amenable number.

116071771342921 is a deficient number, since it is larger than the sum of its proper divisors (588361090340).

116071771342921 is an frugal number, since it uses more digits than its factorization.

116071771342921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108676 (or 54338 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 52.

The spelling of 116071771342921 in words is "one hundred sixteen trillion, seventy-one billion, seven hundred seventy-one million, three hundred forty-two thousand, nine hundred twenty-one".