83825158144 has 96 divisors (see below), whose sum is σ = 206288933760. Its totient is φ = 33161527296.

The previous prime is 83825158133. The next prime is 83825158159. The reversal of 83825158144 is 44185152838.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38524 + ... + 411259.

It is an arithmetic number, because the mean of its divisors is an integer number (2148843060).

Almost surely, 2^83825158144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83825158144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103144466880).

83825158144 is an abundant number, since it is smaller than the sum of its proper divisors (122463775616).

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

83825158144 is a wasteful number, since it uses less digits than its factorization.

83825158144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449825 (or 449805 counting only the distinct ones).

The product of its digits is 1228800, while the sum is 49.

The spelling of 83825158144 in words is "eighty-three billion, eight hundred twenty-five million, one hundred fifty-eight thousand, one hundred forty-four".