383738985883008 has 1536 divisors, whose sum is σ = 1421063647488000. Its totient is φ = 99668980776960.

The previous prime is 383738985883007. The next prime is 383738985883009. The reversal of 383738985883008 is 800388589837383.

383738985883008 is a `hidden beast` number, since 3 + 83 + 7 + 3 + 89 + 85 + 88 + 300 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (383738985883007) and next prime (383738985883009).

It is a super-2 number, since 2×383738985883008² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (383738985883003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24945645685 + ... + 24945661067.

It is an arithmetic number, because the mean of its divisors is an integer number (925171645500).

Almost surely, 2^{383738985883008} 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 383738985883008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710531823744000).

383738985883008 is an abundant number, since it is smaller than the sum of its proper divisors (1037324661604992).

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

383738985883008 is a wasteful number, since it uses less digits than its factorization.

383738985883008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15541 (or 15492 counting only the distinct ones).

The product of its (nonzero) digits is 6688604160, while the sum is 81.

The spelling of 383738985883008 in words is "three hundred eighty-three trillion, seven hundred thirty-eight billion, nine hundred eighty-five million, eight hundred eighty-three thousand, eight".