84125422452148 has 96 divisors (see below), whose sum is σ = 189640596676608. Its totient is φ = 31689819907200.

The previous prime is 84125422452139. The next prime is 84125422452209.

84125422452148 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 84125422452095 and 84125422452104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6405411 + ... + 14466517.

It is an arithmetic number, because the mean of its divisors is an integer number (1975422882048).

Almost surely, 2^{84125422452148} 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 84125422452148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94820298338304).

84125422452148 is an abundant number, since it is smaller than the sum of its proper divisors (105515174224460).

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

84125422452148 is a wasteful number, since it uses less digits than its factorization.

84125422452148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8062253 (or 8062251 counting only the distinct ones).

The product of its digits is 6553600, while the sum is 52.

The spelling of 84125422452148 in words is "eighty-four trillion, one hundred twenty-five billion, four hundred twenty-two million, four hundred fifty-two thousand, one hundred forty-eight".