383845616640 has 704 divisors, whose sum is σ = 1452628494720. Its totient is φ = 95787417600.

The previous prime is 383845616617. The next prime is 383845616669. The reversal of 383845616640 is 46616548383.

383845616640 is a `hidden beast` number, since 3 + 8 + 38 + 4 + 561 + 6 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 547568290 + ... + 547568990.

Almost surely, 2^383845616640 is an apocalyptic number.

383845616640 is a gapful number since it is divisible by the number (30) 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 383845616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726314247360).

383845616640 is an abundant number, since it is smaller than the sum of its proper divisors (1068782878080).

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

383845616640 is a wasteful number, since it uses less digits than its factorization.

383845616640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 383845616640 in words is "three hundred eighty-three billion, eight hundred forty-five million, six hundred sixteen thousand, six hundred forty".