8144428425 has 72 divisors (see below), whose sum is σ = 16585429536. Its totient is φ = 3504130560.

The previous prime is 8144428361. The next prime is 8144428447. The reversal of 8144428425 is 5248244418.

It is a happy number.

It is not a de Polignac number, because 8144428425 - 2⁶ = 8144428361 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2707 + ... + 127656.

It is an arithmetic number, because the mean of its divisors is an integer number (230353188).

Almost surely, 2^8144428425 is an apocalyptic number.

8144428425 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

8144428425 is an abundant number, since it is smaller than the sum of its proper divisors (8441001111).

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

8144428425 is a wasteful number, since it uses less digits than its factorization.

8144428425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130407 (or 130395 counting only the distinct ones).

The product of its digits is 327680, while the sum is 42.

The square root of 8144428425 is about 90246.4870507434. The cubic root of 8144428425 is about 2011.9639908374.

The spelling of 8144428425 in words is "eight billion, one hundred forty-four million, four hundred twenty-eight thousand, four hundred twenty-five".