338228664480 has 576 divisors, whose sum is σ = 1364666075136. Its totient is φ = 74649600000.

The previous prime is 338228664469. The next prime is 338228664491. The reversal of 338228664480 is 84466822833.

338228664480 is a `hidden beast` number, since 3 + 3 + 8 + 22 + 86 + 64 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (338228664469) and next prime (338228664491).

It is a super-2 number, since 2×338228664480² (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 95 ways as a sum of consecutive naturals, for example, 187799580 + ... + 187801380.

It is an arithmetic number, because the mean of its divisors is an integer number (2369211936).

Almost surely, 2^338228664480 is an apocalyptic number.

338228664480 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 338228664480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682333037568).

338228664480 is an abundant number, since it is smaller than the sum of its proper divisors (1026437410656).

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

338228664480 is a wasteful number, since it uses less digits than its factorization.

338228664480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2461 (or 2450 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 338228664480 in words is "three hundred thirty-eight billion, two hundred twenty-eight million, six hundred sixty-four thousand, four hundred eighty".