861911144160 has 96 divisors (see below), whose sum is σ = 2961840131712. Its totient is φ = 208948154880.

The previous prime is 861911144131. The next prime is 861911144161. The reversal of 861911144160 is 61441119168.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (861911144161) 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, 81615094 + ... + 81625653.

It is an arithmetic number, because the mean of its divisors is an integer number (30852501372).

Almost surely, 2^861911144160 is an apocalyptic number.

861911144160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

861911144160 is an abundant number, since it is smaller than the sum of its proper divisors (2099928987552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

861911144160 is a wasteful number, since it uses less digits than its factorization.

861911144160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163240776 (or 163240768 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

It can be divided in two parts, 861911 and 144160, that added together give a triangular number (1006071 = T₁₄₁₈).

The spelling of 861911144160 in words is "eight hundred sixty-one billion, nine hundred eleven million, one hundred forty-four thousand, one hundred sixty".