384449957075808 has 480 divisors, whose sum is σ = 1224457403865696. Its totient is φ = 117630371930112.

The previous prime is 384449957075803. The next prime is 384449957075879. The reversal of 384449957075808 is 808570759944483.

384449957075808 is a `hidden beast` number, since 3 + 8 + 4 + 4 + 499 + 5 + 70 + 7 + 58 + 0 + 8 = 666.

It is a super-2 number, since 2×384449957075808² (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 not an unprimeable number, because it can be changed into a prime (384449957075803) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6068921191 + ... + 6068984537.

Almost surely, 2^{384449957075808} 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 384449957075808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612228701932848).

384449957075808 is an abundant number, since it is smaller than the sum of its proper divisors (840007446789888).

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

384449957075808 is a wasteful number, since it uses less digits than its factorization.

384449957075808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64388 (or 64371 counting only the distinct ones).

The product of its (nonzero) digits is 9754214400, while the sum is 81.

The spelling of 384449957075808 in words is "three hundred eighty-four trillion, four hundred forty-nine billion, nine hundred fifty-seven million, seventy-five thousand, eight hundred eight".