378191896992000 has 4608 divisors, whose sum is σ = 1838261877903360. Its totient is φ = 74300837068800.

The previous prime is 378191896991989. The next prime is 378191896992043. The reversal of 378191896992000 is 299698191873.

378191896992000 is a `hidden beast` number, since 3 + 78 + 191 + 89 + 6 + 99 + 200 + 0 = 666.

It is a super-2 number, since 2×378191896992000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 378191896992000.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 129650974542 + ... + 129650977458.

It is an arithmetic number, because the mean of its divisors is an integer number (398928358920).

Almost surely, 2^{378191896992000} is an apocalyptic number.

378191896992000 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 378191896992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919130938951680).

378191896992000 is an abundant number, since it is smaller than the sum of its proper divisors (1460069980911360).

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

378191896992000 is a wasteful number, since it uses less digits than its factorization.

378191896992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3091 (or 3061 counting only the distinct ones).

The product of its (nonzero) digits is 105815808, while the sum is 72.

The spelling of 378191896992000 in words is "three hundred seventy-eight trillion, one hundred ninety-one billion, eight hundred ninety-six million, nine hundred ninety-two thousand".