338736201488 has 80 divisors (see below), whose sum is σ = 683257362480. Its totient is φ = 162488352768.

The previous prime is 338736201431. The next prime is 338736201497. The reversal of 338736201488 is 884102637833.

It can be written as a sum of positive squares in 8 ways, for example, as 57632644624 + 281103556864 = 240068^2 + 530192^2 .

It is a super-2 number, since 2×338736201488² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89303720 + ... + 89307512.

It is an arithmetic number, because the mean of its divisors is an integer number (8540717031).

Almost surely, 2^338736201488 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 338736201488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341628681240).

338736201488 is an abundant number, since it is smaller than the sum of its proper divisors (344521160992).

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

338736201488 is a wasteful number, since it uses less digits than its factorization.

338736201488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5004 (or 4998 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 53.

The spelling of 338736201488 in words is "three hundred thirty-eight billion, seven hundred thirty-six million, two hundred one thousand, four hundred eighty-eight".