73148070681 has 117 divisors (see below), whose sum is σ = 130089500751. Its totient is φ = 41010239088.

The previous prime is 73148070661. The next prime is 73148070829. The reversal of 73148070681 is 18607084137.

The square root of 73148070681 is 270459.

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., 52732233225 + 20415837456 = 229635^2 + 142884^2 .

It is not a de Polignac number, because 73148070681 - 2⁷ = 73148070553 is a prime.

It is a super-2 number, since 2×73148070681² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (73148070601) by changing a digit.

It is a polite number, since it can be written in 116 ways as a sum of consecutive naturals, for example, 1380152251 + ... + 1380152303.

Almost surely, 2^73148070681 is an apocalyptic number.

73148070681 is the 270459-th square number.

73148070681 is the 135230-th centered octagonal number.

It is an amenable number.

73148070681 is a deficient number, since it is larger than the sum of its proper divisors (56941430070).

73148070681 is an frugal number, since it uses more digits than its factorization.

73148070681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 73148070681 in words is "seventy-three billion, one hundred forty-eight million, seventy thousand, six hundred eighty-one".