338884564664880 has 960 divisors, whose sum is σ = 1299903488851968. Its totient is φ = 78512358481920.

The previous prime is 338884564664879. The next prime is 338884564664923. The reversal of 338884564664880 is 88466465488833.

338884564664880 is a `hidden beast` number, since 3 + 3 + 8 + 8 + 8 + 4 + 564 + 6 + 6 + 48 + 8 + 0 = 666.

It is a super-2 number, since 2×338884564664880² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 338884564664880.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34000653657 + ... + 34000663623.

Almost surely, 2^{338884564664880} is an apocalyptic number.

338884564664880 is a gapful number since it is divisible by the number (30) 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 338884564664880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649951744425984).

338884564664880 is an abundant number, since it is smaller than the sum of its proper divisors (961018924187088).

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

338884564664880 is a wasteful number, since it uses less digits than its factorization.

338884564664880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13234 (or 13225 counting only the distinct ones).

The product of its (nonzero) digits is 20384317440, while the sum is 81.

The spelling of 338884564664880 in words is "three hundred thirty-eight trillion, eight hundred eighty-four billion, five hundred sixty-four million, six hundred sixty-four thousand, eight hundred eighty".