8261138311628 has 24 divisors (see below), whose sum is σ = 14978411920080. Its totient is φ = 3982028294720.

The previous prime is 8261138311627. The next prime is 8261138311669.

8261138311628 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×8261138311628³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (8261138311627) 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 7 ways as a sum of consecutive naturals, for example, 54454658 + ... + 54606153.

It is an arithmetic number, because the mean of its divisors is an integer number (624100496670).

Almost surely, 2^{8261138311628} is an apocalyptic number.

It is an amenable number.

8261138311628 is a deficient number, since it is larger than the sum of its proper divisors (6717273608452).

8261138311628 is a wasteful number, since it uses less digits than its factorization.

8261138311628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109061497 (or 109061495 counting only the distinct ones).

The product of its digits is 663552, while the sum is 50.

The spelling of 8261138311628 in words is "eight trillion, two hundred sixty-one billion, one hundred thirty-eight million, three hundred eleven thousand, six hundred twenty-eight".