383158822080000 has 1600 divisors, whose sum is σ = 1394548063622208. Its totient is φ = 93062430720000.

The previous prime is 383158822079953. The next prime is 383158822080007. The reversal of 383158822080000 is 80228851383.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (383158822080007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 118956478390 + ... + 118956481610.

Almost surely, 2^{383158822080000} is an apocalyptic number.

383158822080000 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 383158822080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697274031811104).

383158822080000 is an abundant number, since it is smaller than the sum of its proper divisors (1011389241542208).

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

383158822080000 is a wasteful number, since it uses less digits than its factorization.

383158822080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3513 (or 3482 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 383158822080000 in words is "three hundred eighty-three trillion, one hundred fifty-eight billion, eight hundred twenty-two million, eighty thousand".