84345600000 has 576 divisors, whose sum is σ = 294821130240. Its totient is φ = 21401600000.

The previous prime is 84345599981. The next prime is 84345600029. The reversal of 84345600000 is 654348.

It is a super-2 number, since 2×84345600000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 441599905 + ... + 441600095.

It is an arithmetic number, because the mean of its divisors is an integer number (511842240).

Almost surely, 2^84345600000 is an apocalyptic number.

84345600000 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 84345600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147410565120).

84345600000 is an abundant number, since it is smaller than the sum of its proper divisors (210475530240).

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

84345600000 is an equidigital number, since it uses as much as digits as its factorization.

84345600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 84345600000 in words is "eighty-four billion, three hundred forty-five million, six hundred thousand".