338297776128 has 1536 divisors, whose sum is σ = 1268047872000. Its totient is φ = 87907368960.

The previous prime is 338297776099. The next prime is 338297776133. The reversal of 338297776128 is 821677792833.

338297776128 is a `hidden beast` number, since 3 + 3 + 8 + 2 + 9 + 7 + 7 + 7 + 612 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×338297776128² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7197825001 + ... + 7197825047.

It is an arithmetic number, because the mean of its divisors is an integer number (825552000).

Almost surely, 2^338297776128 is an apocalyptic number.

338297776128 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 338297776128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634023936000).

338297776128 is an abundant number, since it is smaller than the sum of its proper divisors (929750095872).

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

338297776128 is a wasteful number, since it uses less digits than its factorization.

338297776128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 132 counting only the distinct ones).

The product of its digits is 42674688, while the sum is 63.

The spelling of 338297776128 in words is "three hundred thirty-eight billion, two hundred ninety-seven million, seven hundred seventy-six thousand, one hundred twenty-eight".