64381117248 has 630 divisors, whose sum is σ = 236100462774. Its totient is φ = 17292828672.

The previous prime is 64381117247. The next prime is 64381117271. The reversal of 64381117248 is 84271118346.

64381117248 is a `hidden beast` number, since 6 + 438 + 1 + 1 + 172 + 48 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 38043722304 + 26337394944 = 195048^2 + 162288^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64381117247) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 73410186 + ... + 73411062.

Almost surely, 2^64381117248 is an apocalyptic number.

64381117248 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64381117248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118050231387).

64381117248 is an abundant number, since it is smaller than the sum of its proper divisors (171719345526).

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

64381117248 is a wasteful number, since it uses less digits than its factorization.

64381117248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 906 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The spelling of 64381117248 in words is "sixty-four billion, three hundred eighty-one million, one hundred seventeen thousand, two hundred forty-eight".