338300453288 has 384 divisors, whose sum is σ = 843195225600. Its totient is φ = 123992064000.

The previous prime is 338300453251. The next prime is 338300453369. The reversal of 338300453288 is 882354003833.

It is a super-2 number, since 2×338300453288² (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 95 ways as a sum of consecutive naturals, for example, 1087782653 + ... + 1087782963.

It is an arithmetic number, because the mean of its divisors is an integer number (2195820900).

Almost surely, 2^338300453288 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 338300453288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421597612800).

338300453288 is an abundant number, since it is smaller than the sum of its proper divisors (504894772312).

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

338300453288 is a wasteful number, since it uses less digits than its factorization.

338300453288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 47.

The spelling of 338300453288 in words is "three hundred thirty-eight billion, three hundred million, four hundred fifty-three thousand, two hundred eighty-eight".