58434420466081 has 27 divisors (see below), whose sum is σ = 64384013707923. Its totient is φ = 52994770926240.

The previous prime is 58434420466063. The next prime is 58434420466127. The reversal of 58434420466081 is 18066402443485.

The square root of 58434420466081 is 7644241.

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

It can be written as a sum of positive squares in only one way, i.e., 51434586147681 + 6999834318400 = 7171791^2 + 2645720^2 .

It is not a de Polignac number, because 58434420466081 - 2²¹ = 58434418368929 is a prime.

It is a super-2 number, since 2×58434420466081² (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 (58434420466061) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 68026100230 + ... + 68026101088.

Almost surely, 2^{58434420466081} is an apocalyptic number.

58434420466081 is the 7644241-st square number.

58434420466081 is the 3822121-st centered octagonal number.

It is an amenable number.

58434420466081 is a deficient number, since it is larger than the sum of its proper divisors (5949593241842).

58434420466081 is an frugal number, since it uses more digits than its factorization.

58434420466081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3358 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 55.

The spelling of 58434420466081 in words is "fifty-eight trillion, four hundred thirty-four billion, four hundred twenty million, four hundred sixty-six thousand, eighty-one".