338722560000 has 1440 divisors, whose sum is σ = 1395180586800. Its totient is φ = 82114560000.

The previous prime is 338722559963. The next prime is 338722560019. The reversal of 338722560000 is 65227833.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

338722560000 is a `hidden beast` number, since 338 + 72 + 256 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×338722560000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 30792959995 + ... + 30792960005.

Almost surely, 2^338722560000 is an apocalyptic number.

338722560000 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 338722560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697590293400).

338722560000 is an abundant number, since it is smaller than the sum of its proper divisors (1056458026800).

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

338722560000 is an frugal number, since it uses more digits than its factorization.

338722560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 338722560000 its reverse (65227833), we get a palindrome (338787787833).

The spelling of 338722560000 in words is "three hundred thirty-eight billion, seven hundred twenty-two million, five hundred sixty thousand".