338202083548 has 48 divisors (see below), whose sum is σ = 701104017600. Its totient is φ = 139670576640.

The previous prime is 338202083537. The next prime is 338202083551. The reversal of 338202083548 is 845380202833.

It is a super-5 number, since 5×338202083548⁵ (a number of 59 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 338202083498 and 338202083507.

It is a congruent number.

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, 4168 + ... + 822448.

It is an arithmetic number, because the mean of its divisors is an integer number (14606333700).

Almost surely, 2^338202083548 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 338202083548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350552008800).

338202083548 is an abundant number, since it is smaller than the sum of its proper divisors (362901934052).

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

338202083548 is a wasteful number, since it uses less digits than its factorization.

338202083548 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818830 (or 818828 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 46.

The spelling of 338202083548 in words is "three hundred thirty-eight billion, two hundred two million, eighty-three thousand, five hundred forty-eight".