338743878536448 has 1440 divisors, whose sum is σ = 1391364888883200. Its totient is φ = 79209237381120.

The previous prime is 338743878536429. The next prime is 338743878536467. The reversal of 338743878536448 is 844635878347833.

338743878536448 is a `hidden beast` number, since 3 + 3 + 8 + 7 + 4 + 3 + 8 + 78 + 536 + 4 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (338743878536429) and next prime (338743878536467).

It is a super-2 number, since 2×338743878536448² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 624027453 + ... + 624570051.

It is an arithmetic number, because the mean of its divisors is an integer number (966225617280).

Almost surely, 2^{338743878536448} 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 338743878536448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695682444441600).

338743878536448 is an abundant number, since it is smaller than the sum of its proper divisors (1052621010346752).

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

338743878536448 is a wasteful number, since it uses less digits than its factorization.

338743878536448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542685 (or 542662 counting only the distinct ones).

The product of its digits is 31213486080, while the sum is 81.

The spelling of 338743878536448 in words is "three hundred thirty-eight trillion, seven hundred forty-three billion, eight hundred seventy-eight million, five hundred thirty-six thousand, four hundred forty-eight".