338339362500 has 144 divisors (see below), whose sum is σ = 1096401075840. Its totient is φ = 90223740000.

The previous prime is 338339362489. The next prime is 338339362507. The reversal of 338339362500 is 5263933833.

338339362500 is a `hidden beast` number, since 3 + 3 + 8 + 3 + 393 + 6 + 250 + 0 = 666.

338339362500 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×338339362500² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (338339362507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163744 + ... + 838743.

It is an arithmetic number, because the mean of its divisors is an integer number (7613896360).

Almost surely, 2^338339362500 is an apocalyptic number.

338339362500 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 338339362500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548200537920).

338339362500 is an abundant number, since it is smaller than the sum of its proper divisors (758061713340).

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

338339362500 is a wasteful number, since it uses less digits than its factorization.

338339362500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002525 (or 1002497 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 45.

The spelling of 338339362500 in words is "three hundred thirty-eight billion, three hundred thirty-nine million, three hundred sixty-two thousand, five hundred".