2338314345000 has 640 divisors, whose sum is σ = 8605385395200. Its totient is φ = 587088000000.

The previous prime is 2338314344987. The next prime is 2338314345049. The reversal of 2338314345000 is 5434138332.

2338314345000 is a `hidden beast` number, since 2 + 3 + 3 + 8 + 3 + 143 + 4 + 500 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 154837450 + ... + 154852550.

It is an arithmetic number, because the mean of its divisors is an integer number (13445914680).

Almost surely, 2^{2338314345000} is an apocalyptic number.

2338314345000 is a gapful number since it is divisible by the number (20) 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 2338314345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4302692697600).

2338314345000 is an abundant number, since it is smaller than the sum of its proper divisors (6267071050200).

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

2338314345000 is a wasteful number, since it uses less digits than its factorization.

2338314345000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15204 (or 15179 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 2338314345000 in words is "two trillion, three hundred thirty-eight billion, three hundred fourteen million, three hundred forty-five thousand".