14961623476801 has 2 divisors, whose sum is σ = 14961623476802. Its totient is φ = 14961623476800.

The previous prime is 14961623476783. The next prime is 14961623476837. The reversal of 14961623476801 is 10867432616941.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14877567551025 + 84055925776 = 3857145^2 + 289924^2 .

It is a cyclic number.

It is not a de Polignac number, because 14961623476801 - 2³¹ = 14959475993153 is a prime.

It is not a weakly prime, because it can be changed into another prime (14961623476601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7480811738400 + 7480811738401.

It is an arithmetic number, because the mean of its divisors is an integer number (7480811738401).

Almost surely, 2^{14961623476801} is an apocalyptic number.

It is an amenable number.

14961623476801 is a deficient number, since it is larger than the sum of its proper divisors (1).

14961623476801 is an equidigital number, since it uses as much as digits as its factorization.

14961623476801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10450944, while the sum is 58.

The spelling of 14961623476801 in words is "fourteen trillion, nine hundred sixty-one billion, six hundred twenty-three million, four hundred seventy-six thousand, eight hundred one".