78849201601 has 9 divisors (see below), whose sum is σ = 83223209601. Its totient is φ = 74694189204.

The previous prime is 78849201553. The next prime is 78849201631. The reversal of 78849201601 is 10610294887.

The square root of 78849201601 is 280801.

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

It is not a de Polignac number, because 78849201601 - 2⁹ = 78849201089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (78849201631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5327830 + ... + 5342608.

It is an arithmetic number, because the mean of its divisors is an integer number (9247023289).

Almost surely, 2^78849201601 is an apocalyptic number.

78849201601 is the 280801-st square number.

78849201601 is the 140401-st centered octagonal number.

It is an amenable number.

78849201601 is a deficient number, since it is larger than the sum of its proper divisors (4374008000).

78849201601 is an frugal number, since it uses more digits than its factorization.

78849201601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29596 (or 14798 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The spelling of 78849201601 in words is "seventy-eight billion, eight hundred forty-nine million, two hundred one thousand, six hundred one".