338471457408 has 512 divisors, whose sum is σ = 1216727808000. Its totient is φ = 91606256640.

The previous prime is 338471457397. The next prime is 338471457409. The reversal of 338471457408 is 804754174833.

338471457408 is a `hidden beast` number, since 3 + 3 + 84 + 71 + 457 + 40 + 8 = 666.

It is a super-2 number, since 2×338471457408² (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 (338471457409) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 37226943 + ... + 37236033.

It is an arithmetic number, because the mean of its divisors is an integer number (2376421500).

Almost surely, 2^338471457408 is an apocalyptic number.

338471457408 is a gapful number since it is divisible by the number (38) 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 338471457408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608363904000).

338471457408 is an abundant number, since it is smaller than the sum of its proper divisors (878256350592).

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

338471457408 is an frugal number, since it uses more digits than its factorization.

338471457408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9152 (or 9122 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 338471457408 in words is "three hundred thirty-eight billion, four hundred seventy-one million, four hundred fifty-seven thousand, four hundred eight".