116517005667 has 48 divisors (see below), whose sum is σ = 176071293216. Its totient is φ = 74184768000.

The previous prime is 116517005617. The next prime is 116517005711. The reversal of 116517005667 is 766500715611.

116517005667 is a `hidden beast` number, since 1 + 16 + 5 + 1 + 70 + 0 + 566 + 7 = 666.

It is not a de Polignac number, because 116517005667 - 2¹² = 116517001571 is a prime.

It is a super-2 number, since 2×116517005667² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (116517005617) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4737133 + ... + 4761665.

It is an arithmetic number, because the mean of its divisors is an integer number (3668151942).

Almost surely, 2^116517005667 is an apocalyptic number.

116517005667 is a deficient number, since it is larger than the sum of its proper divisors (59554287549).

116517005667 is a wasteful number, since it uses less digits than its factorization.

116517005667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24852 (or 24849 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 116517005667 in words is "one hundred sixteen billion, five hundred seventeen million, five thousand, six hundred sixty-seven".