13959658801 has 27 divisors (see below), whose sum is σ = 16074648793. Its totient is φ = 12112840520.

The previous prime is 13959658793. The next prime is 13959658871. The reversal of 13959658801 is 10885695931.

The square root of 13959658801 is 118151.

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

It is not a de Polignac number, because 13959658801 - 2³ = 13959658793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13959658871) 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, 29891970 + ... + 29892436.

Almost surely, 2^13959658801 is an apocalyptic number.

13959658801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13959658801 is the 118151-st square number.

13959658801 is the 59076-th centered octagonal number.

It is an amenable number.

13959658801 is a deficient number, since it is larger than the sum of its proper divisors (2114989992).

13959658801 is an frugal number, since it uses more digits than its factorization.

13959658801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 55.

The spelling of 13959658801 in words is "thirteen billion, nine hundred fifty-nine million, six hundred fifty-eight thousand, eight hundred one".