418122203648 has 150 divisors (see below), whose sum is σ = 909647850705. Its totient is φ = 191964282880.

The previous prime is 418122203647. The next prime is 418122203701. The reversal of 418122203648 is 846302221814.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 228820635904 + 189301567744 = 478352^2 + 435088^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=457232.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (418122203647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 10198102508 + ... + 10198102548.

Almost surely, 2^418122203648 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 418122203648

418122203648 is an abundant number, since it is smaller than the sum of its proper divisors (491525647057).

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

418122203648 is an frugal number, since it uses more digits than its factorization.

418122203648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The spelling of 418122203648 in words is "four hundred eighteen billion, one hundred twenty-two million, two hundred three thousand, six hundred forty-eight".