338195707242960 has 480 divisors, whose sum is σ = 1252971884488320. Its totient is φ = 75186499497984.

The previous prime is 338195707242947. The next prime is 338195707243003. The reversal of 338195707242960 is 69242707591833.

It is a super-2 number, since 2×338195707242960² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338195707242891 and 338195707242900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1265630487 + ... + 1265897673.

It is an arithmetic number, because the mean of its divisors is an integer number (2610358092684).

It is a 2-persistent number, because it is pandigital, and so is 2⋅338195707242960 = 676391414485920, but 3⋅338195707242960 = 1014587121728880 is not.

Almost surely, 2^{338195707242960} is an apocalyptic number.

338195707242960 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 338195707242960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626485942244160).

338195707242960 is an abundant number, since it is smaller than the sum of its proper divisors (914776177245360).

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

338195707242960 is a wasteful number, since it uses less digits than its factorization.

338195707242960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270163 (or 270150 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 66.

The spelling of 338195707242960 in words is "three hundred thirty-eight trillion, one hundred ninety-five billion, seven hundred seven million, two hundred forty-two thousand, nine hundred sixty".