1005141636316 has 48 divisors (see below), whose sum is σ = 1777498158240. Its totient is φ = 497318215680.

The previous prime is 1005141636311. The next prime is 1005141636379. The reversal of 1005141636316 is 6136361415001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005141636311) 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, 143649730 + ... + 143656726.

It is an arithmetic number, because the mean of its divisors is an integer number (37031211630).

Almost surely, 2^{1005141636316} is an apocalyptic number.

It is an amenable number.

1005141636316 is a deficient number, since it is larger than the sum of its proper divisors (772356521924).

1005141636316 is a wasteful number, since it uses less digits than its factorization.

1005141636316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8134 (or 8132 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The spelling of 1005141636316 in words is "one trillion, five billion, one hundred forty-one million, six hundred thirty-six thousand, three hundred sixteen".