338481033480 has 144 divisors (see below), whose sum is σ = 1130599999620. Its totient is φ = 87821978112.

The previous prime is 338481033437. The next prime is 338481033487. The reversal of 338481033480 is 84330184833.

It can be written as a sum of positive squares in 6 ways, for example, as 207985250916 + 130495782564 = 456054^2 + 361242^2 .

It is a super-2 number, since 2×338481033480² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (338481033487) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 149442 + ... + 836238.

Almost surely, 2^338481033480 is an apocalyptic number.

338481033480 is a gapful number since it is divisible by the number (30) 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 338481033480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565299999810).

338481033480 is an abundant number, since it is smaller than the sum of its proper divisors (792118966140).

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

338481033480 is a wasteful number, since it uses less digits than its factorization.

338481033480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686888 (or 686844 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 338481033480 in words is "three hundred thirty-eight billion, four hundred eighty-one million, thirty-three thousand, four hundred eighty".