1072679448961 has 8 divisors (see below), whose sum is σ = 1076772528000. Its totient is φ = 1068593944320.

The previous prime is 1072679448901. The next prime is 1072679449013. The reversal of 1072679448961 is 1698449762701.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1072679448961 - 2⁷ = 1072679448833 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1072679448893 and 1072679448902.

It is not an unprimeable number, because it can be changed into a prime (1072679448901) 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 7 ways as a sum of consecutive naturals, for example, 1609741 + ... + 2176378.

It is an arithmetic number, because the mean of its divisors is an integer number (134596566000).

Almost surely, 2^{1072679448961} is an apocalyptic number.

It is an amenable number.

1072679448961 is a deficient number, since it is larger than the sum of its proper divisors (4093079039).

1072679448961 is an equidigital number, since it uses as much as digits as its factorization.

1072679448961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3787199.

The product of its (nonzero) digits is 36578304, while the sum is 64.

It can be divided in two parts, 1072679 and 448961, that added together give a triangular number (1521640 = T₁₇₄₄).

The spelling of 1072679448961 in words is "one trillion, seventy-two billion, six hundred seventy-nine million, four hundred forty-eight thousand, nine hundred sixty-one".