1084981979767 has 48 divisors (see below), whose sum is σ = 1302708657600. Its totient is φ = 903248551296.

The previous prime is 1084981979761. The next prime is 1084981979771. The reversal of 1084981979767 is 7679791894801.

It is not a de Polignac number, because 1084981979767 - 2¹⁹ = 1084981455479 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1084981979693 and 1084981979702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1084981979761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 317895153 + ... + 317898565.

It is an arithmetic number, because the mean of its divisors is an integer number (27139763700).

Almost surely, 2^{1084981979767} is an apocalyptic number.

1084981979767 is a deficient number, since it is larger than the sum of its proper divisors (217726677833).

1084981979767 is an frugal number, since it uses more digits than its factorization.

1084981979767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4185 (or 4134 counting only the distinct ones).

The product of its (nonzero) digits is 384072192, while the sum is 76.

The spelling of 1084981979767 in words is "one trillion, eighty-four billion, nine hundred eighty-one million, nine hundred seventy-nine thousand, seven hundred sixty-seven".