84508350234 has 256 divisors, whose sum is σ = 226074820608. Its totient is φ = 20422080000.

The previous prime is 84508350217. The next prime is 84508350263. The reversal of 84508350234 is 43205380548.

It is a super-2 number, since 2×84508350234² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 127 ways as a sum of consecutive naturals, for example, 41690329 + ... + 41692355.

It is an arithmetic number, because the mean of its divisors is an integer number (883104768).

Almost surely, 2^84508350234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84508350234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113037410304).

84508350234 is an abundant number, since it is smaller than the sum of its proper divisors (141566470374).

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

84508350234 is a wasteful number, since it uses less digits than its factorization.

84508350234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193.

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 84508350234 in words is "eighty-four billion, five hundred eight million, three hundred fifty thousand, two hundred thirty-four".