338251222848 has 224 divisors, whose sum is σ = 1116258554880. Its totient is φ = 87820554240.

The previous prime is 338251222847. The next prime is 338251222867. The reversal of 338251222848 is 848222152833.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×338251222848² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 338251222797 and 338251222806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338251222843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64145140 + ... + 64150412.

It is an arithmetic number, because the mean of its divisors is an integer number (4983297120).

Almost surely, 2^338251222848 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 338251222848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558129277440).

338251222848 is an abundant number, since it is smaller than the sum of its proper divisors (778007332032).

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

338251222848 is a wasteful number, since it uses less digits than its factorization.

338251222848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9645 (or 9635 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 48.

The spelling of 338251222848 in words is "three hundred thirty-eight billion, two hundred fifty-one million, two hundred twenty-two thousand, eight hundred forty-eight".