86141983069344 has 48 divisors (see below), whose sum is σ = 226126909794240. Its totient is φ = 28713460485120.

The previous prime is 86141983069279. The next prime is 86141983069367. The reversal of 86141983069344 is 44396038914168.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×86141983069344² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3134697 + ... + 13494824.

It is an arithmetic number, because the mean of its divisors is an integer number (4710977287380).

Almost surely, 2^{86141983069344} is an apocalyptic number.

It is an amenable number.

86141983069344 is an abundant number, since it is smaller than the sum of its proper divisors (139984926724896).

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

86141983069344 is a wasteful number, since it uses less digits than its factorization.

86141983069344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16683493 (or 16683485 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 66.

The spelling of 86141983069344 in words is "eighty-six trillion, one hundred forty-one billion, nine hundred eighty-three million, sixty-nine thousand, three hundred forty-four".