379219222133136 has 240 divisors, whose sum is σ = 1323730414581120. Its totient is φ = 98456272865280.

The previous prime is 379219222133069. The next prime is 379219222133173. The reversal of 379219222133136 is 631331222912973.

It is a happy number.

379219222133136 is a `hidden beast` number, since 3 + 7 + 9 + 21 + 92 + 2 + 213 + 313 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18538500 + ... + 33198108.

It is an arithmetic number, because the mean of its divisors is an integer number (5515543394088).

Almost surely, 2^{379219222133136} is an apocalyptic number.

379219222133136 is a gapful number since it is divisible by the number (36) 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 379219222133136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661865207290560).

379219222133136 is an abundant number, since it is smaller than the sum of its proper divisors (944511192447984).

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

379219222133136 is a wasteful number, since it uses less digits than its factorization.

379219222133136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14661974 (or 14661965 counting only the distinct ones).

The product of its digits is 4408992, while the sum is 54.

The spelling of 379219222133136 in words is "three hundred seventy-nine trillion, two hundred nineteen billion, two hundred twenty-two million, one hundred thirty-three thousand, one hundred thirty-six".