338574652416 has 1320 divisors, whose sum is σ = 1352406785184. Its totient is φ = 80418078720.

The previous prime is 338574652343. The next prime is 338574652453. The reversal of 338574652416 is 614256475833.

338574652416 is a `hidden beast` number, since 3 + 3 + 8 + 574 + 6 + 52 + 4 + 16 = 666.

It is a super-2 number, since 2×338574652416² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 3164249035 + ... + 3164249141.

Almost surely, 2^338574652416 is an apocalyptic number.

338574652416 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 338574652416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676203392592).

338574652416 is an abundant number, since it is smaller than the sum of its proper divisors (1013832132768).

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

338574652416 is a wasteful number, since it uses less digits than its factorization.

338574652416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 143 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 338574652416 in words is "three hundred thirty-eight billion, five hundred seventy-four million, six hundred fifty-two thousand, four hundred sixteen".