379048018233000 has 1024 divisors, whose sum is σ = 1280896156800000. Its totient is φ = 92982607872000.

The previous prime is 379048018232969. The next prime is 379048018233023. The reversal of 379048018233000 is 332810840973.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 255940592260 + ... + 255940593740.

It is an arithmetic number, because the mean of its divisors is an integer number (1250875153125).

Almost surely, 2^{379048018233000} is an apocalyptic number.

379048018233000 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 379048018233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640448078400000).

379048018233000 is an abundant number, since it is smaller than the sum of its proper divisors (901848138567000).

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

379048018233000 is a wasteful number, since it uses less digits than its factorization.

379048018233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223 (or 2209 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 379048018233000 in words is "three hundred seventy-nine trillion, forty-eight billion, eighteen million, two hundred thirty-three thousand".