84348461120 has 168 divisors, whose sum is σ = 252314244672. Its totient is φ = 26290344960.

The previous prime is 84348461089. The next prime is 84348461149. The reversal of 84348461120 is 2116484348.

It is a super-2 number, since 2×84348461120² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115439 + ... + 426641.

It is an arithmetic number, because the mean of its divisors is an integer number (1501870504).

Almost surely, 2^84348461120 is an apocalyptic number.

84348461120 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 84348461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126157122336).

84348461120 is an abundant number, since it is smaller than the sum of its proper divisors (167965783552).

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

84348461120 is a wasteful number, since it uses less digits than its factorization.

84348461120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311249 (or 311228 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The spelling of 84348461120 in words is "eighty-four billion, three hundred forty-eight million, four hundred sixty-one thousand, one hundred twenty".