338458057416 has 96 divisors (see below), whose sum is σ = 951535166400. Its totient is φ = 112709257920.

The previous prime is 338458057393. The next prime is 338458057417. The reversal of 338458057416 is 614750854833.

338458057416 is a `hidden beast` number, since 3 + 3 + 8 + 4 + 58 + 0 + 574 + 16 = 666.

It is a super-2 number, since 2×338458057416² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (338458057417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1919830 + ... + 2088698.

It is an arithmetic number, because the mean of its divisors is an integer number (9911824650).

Almost surely, 2^338458057416 is an apocalyptic number.

338458057416 is a gapful number since it is divisible by the number (36) 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 338458057416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475767583200).

338458057416 is an abundant number, since it is smaller than the sum of its proper divisors (613077108984).

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

338458057416 is a wasteful number, since it uses less digits than its factorization.

338458057416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169921 (or 169905 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 338458057416 in words is "three hundred thirty-eight billion, four hundred fifty-eight million, fifty-seven thousand, four hundred sixteen".