79701131147401 has 27 divisors (see below), whose sum is σ = 85403095740711. Its totient is φ = 74368768622544.

The previous prime is 79701131147369. The next prime is 79701131147447. The reversal of 79701131147401 is 10474113110797.

The square root of 79701131147401 is 8927549.

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., 67104849980025 + 12596281167376 = 8191755^2 + 3549124^2 .

It is not a de Polignac number, because 79701131147401 - 2⁵ = 79701131147369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (79701132147401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11364766371 + ... + 11364773383.

Almost surely, 2^{79701131147401} is an apocalyptic number.

79701131147401 is the 8927549-th square number.

79701131147401 is the 4463775-th centered octagonal number.

It is an amenable number.

79701131147401 is a deficient number, since it is larger than the sum of its proper divisors (5701964593310).

79701131147401 is an frugal number, since it uses more digits than its factorization.

79701131147401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14198 (or 7099 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 46.

The spelling of 79701131147401 in words is "seventy-nine trillion, seven hundred one billion, one hundred thirty-one million, one hundred forty-seven thousand, four hundred one".