67384085505961 has 9 divisors (see below), whose sum is σ = 78385635696861. Its totient is φ = 57757738323852.

The previous prime is 67384085505949. The next prime is 67384085505973. The reversal of 67384085505961 is 16950558048376.

The square root of 67384085505961 is 8208781.

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

It is an interprime number because it is at equal distance from previous prime (67384085505949) and next prime (67384085505973).

It is not a de Polignac number, because 67384085505961 - 2⁴¹ = 65185062250409 is a prime.

It is a super-2 number, since 2×67384085505961² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67384085500961) 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, 56875126 + ... + 58047808.

It is an arithmetic number, because the mean of its divisors is an integer number (8709515077429).

Almost surely, 2^{67384085505961} is an apocalyptic number.

67384085505961 is the 8208781-st square number.

67384085505961 is the 4104391-st centered octagonal number.

It is an amenable number.

67384085505961 is a deficient number, since it is larger than the sum of its proper divisors (11001550190900).

67384085505961 is an frugal number, since it uses more digits than its factorization.

67384085505961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2345380 (or 1172690 counting only the distinct ones).

The product of its (nonzero) digits is 217728000, while the sum is 67.

The spelling of 67384085505961 in words is "sixty-seven trillion, three hundred eighty-four billion, eighty-five million, five hundred five thousand, nine hundred sixty-one".