86015226421344 has 96 divisors (see below), whose sum is σ = 246749225304960. Its totient is φ = 26019411123200.

The previous prime is 86015226421237. The next prime is 86015226421351. The reversal of 86015226421344 is 44312462251068.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 86015226421293 and 86015226421302.

It is a congruent number.

It is an unprimeable number.

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, 70975422 + ... + 72177149.

It is an arithmetic number, because the mean of its divisors is an integer number (2570304430260).

Almost surely, 2^{86015226421344} is an apocalyptic number.

It is an amenable number.

86015226421344 is an abundant number, since it is smaller than the sum of its proper divisors (160733998883616).

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

86015226421344 is a wasteful number, since it uses less digits than its factorization.

86015226421344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143153164 (or 143153156 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 86015226421344 in words is "eighty-six trillion, fifteen billion, two hundred twenty-six million, four hundred twenty-one thousand, three hundred forty-four".