1014376589361 has 24 divisors (see below), whose sum is σ = 1469864446440. Its totient is φ = 674103983616.

The previous prime is 1014376589357. The next prime is 1014376589383. The reversal of 1014376589361 is 1639856734101.

1014376589361 is a `hidden beast` number, since 1 + 0 + 1 + 437 + 65 + 8 + 93 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2402960400 + 1011973628961 = 49020^2 + 1005969^2 .

It is not a de Polignac number, because 1014376589361 - 2² = 1014376589357 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1014376589298 and 1014376589307.

It is not an unprimeable number, because it can be changed into a prime (1014376589311) 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 23 ways as a sum of consecutive naturals, for example, 15706011 + ... + 15770463.

It is an arithmetic number, because the mean of its divisors is an integer number (61244351935).

Almost surely, 2^{1014376589361} is an apocalyptic number.

It is an amenable number.

1014376589361 is a deficient number, since it is larger than the sum of its proper divisors (455487857079).

1014376589361 is a wasteful number, since it uses less digits than its factorization.

1014376589361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69985 (or 69982 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 1014376589361 in words is "one trillion, fourteen billion, three hundred seventy-six million, five hundred eighty-nine thousand, three hundred sixty-one".