1679613408001 has 9 divisors (see below), whose sum is σ = 1726284540099. Its totient is φ = 1634171795064.

The previous prime is 1679613407981. The next prime is 1679613408017. The reversal of 1679613408001 is 1008043169761.

The square root of 1679613408001 is 1295999.

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., 1502941143025 + 176672264976 = 1225945^2 + 420324^2 .

It is not a de Polignac number, because 1679613408001 - 2⁷ = 1679613407873 is a prime.

It is a super-2 number, since 2×1679613408001² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1679613408041) 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, 47934450 + ... + 47969476.

Almost surely, 2^{1679613408001} is an apocalyptic number.

1679613408001 is the 1295999-th square number.

1679613408001 is the 648000-th centered octagonal number.

It is an amenable number.

1679613408001 is a deficient number, since it is larger than the sum of its proper divisors (46671132098).

1679613408001 is an frugal number, since it uses more digits than its factorization.

1679613408001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70128 (or 35064 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The spelling of 1679613408001 in words is "one trillion, six hundred seventy-nine billion, six hundred thirteen million, four hundred eight thousand, one".