338237354302848 has 1792 divisors, whose sum is σ = 1359763454568960. Its totient is φ = 80898906193920.

The previous prime is 338237354302843. The next prime is 338237354302849. The reversal of 338237354302848 is 848203453732833.

338237354302848 is a `hidden beast` number, since 3 + 3 + 8 + 2 + 3 + 7 + 3 + 543 + 0 + 2 + 84 + 8 = 666.

It is a super-2 number, since 2×338237354302848² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338237354302843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 40444495915 + ... + 40444504277.

It is an arithmetic number, because the mean of its divisors is an integer number (758796570630).

Almost surely, 2^{338237354302848} 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 338237354302848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679881727284480).

338237354302848 is an abundant number, since it is smaller than the sum of its proper divisors (1021526100266112).

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

338237354302848 is a wasteful number, since it uses less digits than its factorization.

338237354302848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8859 (or 8832 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 63.

The spelling of 338237354302848 in words is "three hundred thirty-eight trillion, two hundred thirty-seven billion, three hundred fifty-four million, three hundred two thousand, eight hundred forty-eight".