338824535817456 has 320 divisors, whose sum is σ = 1055112064755840. Its totient is φ = 103482576691200.

The previous prime is 338824535817437. The next prime is 338824535817497. The reversal of 338824535817456 is 654718535428833.

338824535817456 is a `hidden beast` number, since 3 + 3 + 8 + 8 + 2 + 4 + 535 + 81 + 7 + 4 + 5 + 6 = 666.

It is a super-2 number, since 2×338824535817456² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12689568906 + ... + 12689595606.

It is an arithmetic number, because the mean of its divisors is an integer number (3297225202362).

Almost surely, 2^{338824535817456} is an apocalyptic number.

338824535817456 is a gapful number since it is divisible by the number (36) 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 338824535817456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527556032377920).

338824535817456 is an abundant number, since it is smaller than the sum of its proper divisors (716287528938384).

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

338824535817456 is a wasteful number, since it uses less digits than its factorization.

338824535817456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43361 (or 43349 counting only the distinct ones).

The product of its digits is 2322432000, while the sum is 72.

The spelling of 338824535817456 in words is "three hundred thirty-eight trillion, eight hundred twenty-four billion, five hundred thirty-five million, eight hundred seventeen thousand, four hundred fifty-six".