27736346141 has 16 divisors (see below), whose sum is σ = 34720669440. Its totient is φ = 21603966720.

The previous prime is 27736346111. The next prime is 27736346147. The reversal of 27736346141 is 14164363772.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-27736346141 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 27736346092 and 27736346101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27736346147) 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 15 ways as a sum of consecutive naturals, for example, 4015145 + ... + 4022046.

It is an arithmetic number, because the mean of its divisors is an integer number (2170041840).

Almost surely, 2^27736346141 is an apocalyptic number.

It is an amenable number.

27736346141 is a deficient number, since it is larger than the sum of its proper divisors (6984323299).

27736346141 is a wasteful number, since it uses less digits than its factorization.

27736346141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8037244.

The product of its digits is 508032, while the sum is 44.

The spelling of 27736346141 in words is "twenty-seven billion, seven hundred thirty-six million, three hundred forty-six thousand, one hundred forty-one".