383699441664 has 2304 divisors, whose sum is σ = 1648462233600. Its totient is φ = 85996339200.

The previous prime is 383699441651. The next prime is 383699441669. The reversal of 383699441664 is 466144996383.

383699441664 is a `hidden beast` number, since 383 + 6 + 9 + 94 + 4 + 166 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (383699441669) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12377401329 + ... + 12377401359.

It is an arithmetic number, because the mean of its divisors is an integer number (715478400).

Almost surely, 2^383699441664 is an apocalyptic number.

383699441664 is a gapful number since it is divisible by the number (34) 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 383699441664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824231116800).

383699441664 is an abundant number, since it is smaller than the sum of its proper divisors (1264762791936).

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

383699441664 is a wasteful number, since it uses less digits than its factorization.

383699441664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 90 counting only the distinct ones).

The product of its digits is 80621568, while the sum is 63.

The spelling of 383699441664 in words is "three hundred eighty-three billion, six hundred ninety-nine million, four hundred forty-one thousand, six hundred sixty-four".