383953668096 has 384 divisors, whose sum is σ = 1130671301760. Its totient is φ = 115363282944.

The previous prime is 383953668073. The next prime is 383953668101. The reversal of 383953668096 is 690866359383.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238036186 + ... + 238037798.

It is an arithmetic number, because the mean of its divisors is an integer number (2944456515).

Almost surely, 2^383953668096 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 383953668096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565335650880).

383953668096 is an abundant number, since it is smaller than the sum of its proper divisors (746717633664).

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

383953668096 is a wasteful number, since it uses less digits than its factorization.

383953668096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 151165440, while the sum is 66.

The spelling of 383953668096 in words is "three hundred eighty-three billion, nine hundred fifty-three million, six hundred sixty-eight thousand, ninety-six".