338145657416 has 96 divisors (see below), whose sum is σ = 776601561600. Its totient is φ = 137248594560.

The previous prime is 338145657373. The next prime is 338145657431. The reversal of 338145657416 is 614756541833.

It is a super-2 number, since 2×338145657416² (a number of 24 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 34531481 + ... + 34541271.

It is an arithmetic number, because the mean of its divisors is an integer number (8089599600).

Almost surely, 2^338145657416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338145657416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388300780800).

338145657416 is an abundant number, since it is smaller than the sum of its proper divisors (438455904184).

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

338145657416 is a wasteful number, since it uses less digits than its factorization.

338145657416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14467 (or 14456 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 53.

The spelling of 338145657416 in words is "three hundred thirty-eight billion, one hundred forty-five million, six hundred fifty-seven thousand, four hundred sixteen".