378165504456 has 192 divisors, whose sum is σ = 1053041109120. Its totient is φ = 122570772480.

The previous prime is 378165504389. The next prime is 378165504463. The reversal of 378165504456 is 654405561873.

It is a happy number.

378165504456 is a `hidden beast` number, since 3 + 7 + 81 + 6 + 5 + 504 + 4 + 56 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94233106 + ... + 94237118.

It is an arithmetic number, because the mean of its divisors is an integer number (5484589110).

Almost surely, 2^378165504456 is an apocalyptic number.

378165504456 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 378165504456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526520554560).

378165504456 is an abundant number, since it is smaller than the sum of its proper divisors (674875604664).

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

378165504456 is a wasteful number, since it uses less digits than its factorization.

378165504456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4356 (or 4349 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 378165504456 in words is "three hundred seventy-eight billion, one hundred sixty-five million, five hundred four thousand, four hundred fifty-six".