2338059214008 has 384 divisors, whose sum is σ = 7935983677440. Its totient is φ = 630695808000.

The previous prime is 2338059213991. The next prime is 2338059214009. The reversal of 2338059214008 is 8004129508332.

2338059214008 is a `hidden beast` number, since 2 + 3 + 380 + 59 + 214 + 0 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2338059214009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17228178 + ... + 17363358.

It is an arithmetic number, because the mean of its divisors is an integer number (20666624160).

Almost surely, 2^{2338059214008} is an apocalyptic number.

2338059214008 is a gapful number since it is divisible by the number (28) 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 2338059214008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3967991838720).

2338059214008 is an abundant number, since it is smaller than the sum of its proper divisors (5597924463432).

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

2338059214008 is a wasteful number, since it uses less digits than its factorization.

2338059214008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135281 (or 135265 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 2338059214008 in words is "two trillion, three hundred thirty-eight billion, fifty-nine million, two hundred fourteen thousand, eight".