17977608480001 has 9 divisors (see below), whose sum is σ = 18030751985001. Its totient is φ = 17924621187504.

The previous prime is 17977608479993. The next prime is 17977608480031. The reversal of 17977608480001 is 10008480677971.

The square root of 17977608480001 is 4240001.

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

It can be written as a sum of positive squares in 4 ways, for example, as 11062601950401 + 6915006529600 = 3326049^2 + 2629640^2 .

It is not a de Polignac number, because 17977608480001 - 2³ = 17977608479993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (17977608480031) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1479754275 + ... + 1479766423.

Almost surely, 2^{17977608480001} is an apocalyptic number.

17977608480001 is the 4240001-st square number.

17977608480001 is the 2120001-st centered octagonal number.

It is an amenable number.

17977608480001 is a deficient number, since it is larger than the sum of its proper divisors (53143505000).

17977608480001 is an frugal number, since it uses more digits than its factorization.

17977608480001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24996 (or 12498 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 58.

The spelling of 17977608480001 in words is "seventeen trillion, nine hundred seventy-seven billion, six hundred eight million, four hundred eighty thousand, one".