18125658642 has 128 divisors (see below), whose sum is σ = 46102694400. Its totient is φ = 4650317568.

The previous prime is 18125658623. The next prime is 18125658671. The reversal of 18125658642 is 24685652181.

18125658642 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 18125658591 and 18125658600.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3411484 + ... + 3416792.

It is an arithmetic number, because the mean of its divisors is an integer number (360177300).

Almost surely, 2^18125658642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18125658642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23051347200).

18125658642 is an abundant number, since it is smaller than the sum of its proper divisors (27977035758).

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

18125658642 is a wasteful number, since it uses less digits than its factorization.

18125658642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5397 (or 5371 counting only the distinct ones).

The product of its digits is 921600, while the sum is 48.

The spelling of 18125658642 in words is "eighteen billion, one hundred twenty-five million, six hundred fifty-eight thousand, six hundred forty-two".