8344290222960 has 160 divisors (see below), whose sum is σ = 26296799188800. Its totient is φ = 2188372598784.

The previous prime is 8344290222959. The next prime is 8344290223019. The reversal of 8344290222960 is 692220924438.

It is a happy number.

It is a super-2 number, since 2×8344290222960² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5432142 + ... + 6796818.

It is an arithmetic number, because the mean of its divisors is an integer number (164354994930).

Almost surely, 2^{8344290222960} is an apocalyptic number.

8344290222960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8344290222960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13148399594400).

8344290222960 is an abundant number, since it is smaller than the sum of its proper divisors (17952508965840).

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

8344290222960 is a wasteful number, since it uses less digits than its factorization.

8344290222960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365115 (or 1365109 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 8344290222960 in words is "eight trillion, three hundred forty-four billion, two hundred ninety million, two hundred twenty-two thousand, nine hundred sixty".