338223538856448 has 1920 divisors, whose sum is σ = 1228966741094400. Its totient is φ = 91476713373696.

The previous prime is 338223538856417. The next prime is 338223538856453. The reversal of 338223538856448 is 844658835322833.

338223538856448 is a `hidden beast` number, since 3 + 3 + 8 + 2 + 2 + 3 + 53 + 8 + 8 + 564 + 4 + 8 = 666.

It is a super-2 number, since 2×338223538856448² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 146480526718 + ... + 146480529026.

It is an arithmetic number, because the mean of its divisors is an integer number (640086844320).

Almost surely, 2^{338223538856448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338223538856448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614483370547200).

338223538856448 is an abundant number, since it is smaller than the sum of its proper divisors (890743202237952).

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

338223538856448 is a wasteful number, since it uses less digits than its factorization.

338223538856448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2547 (or 2518 counting only the distinct ones).

The product of its digits is 3185049600, while the sum is 72.

The spelling of 338223538856448 in words is "three hundred thirty-eight trillion, two hundred twenty-three billion, five hundred thirty-eight million, eight hundred fifty-six thousand, four hundred forty-eight".