1064140414601 has 12 divisors (see below), whose sum is σ = 1169714993076. Its totient is φ = 967367301120.

The previous prime is 1064140414591. The next prime is 1064140414637.

1064140414601 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 613677957376 + 450462457225 = 783376^2 + 671165^2 .

It is not a de Polignac number, because 1064140414601 - 2³⁰ = 1063066672777 is a prime.

It is a super-2 number, since 2×1064140414601² (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 (1064140413601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3838865 + ... + 4106721.

It is an arithmetic number, because the mean of its divisors is an integer number (97476249423).

Almost surely, 2^{1064140414601} is an apocalyptic number.

1064140414601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1064140414601 is a deficient number, since it is larger than the sum of its proper divisors (105574578475).

1064140414601 is a wasteful number, since it uses less digits than its factorization.

1064140414601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300712 (or 300701 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

It can be divided in two parts, 1064140 and 414601, that added together give a palindrome (1478741).

The spelling of 1064140414601 in words is "one trillion, sixty-four billion, one hundred forty million, four hundred fourteen thousand, six hundred one".