378674132256 has 144 divisors (see below), whose sum is σ = 1231903003968. Its totient is φ = 108086054400.

The previous prime is 378674132219. The next prime is 378674132279. The reversal of 378674132256 is 652231476873.

It is a happy number.

378674132256 is a `hidden beast` number, since 378 + 6 + 7 + 4 + 13 + 2 + 256 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 1966351 + ... + 2150321.

It is an arithmetic number, because the mean of its divisors is an integer number (8554881972).

Almost surely, 2^378674132256 is an apocalyptic number.

378674132256 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 378674132256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615951501984).

378674132256 is an abundant number, since it is smaller than the sum of its proper divisors (853228871712).

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

378674132256 is a wasteful number, since it uses less digits than its factorization.

378674132256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185015 (or 185004 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The spelling of 378674132256 in words is "three hundred seventy-eight billion, six hundred seventy-four million, one hundred thirty-two thousand, two hundred fifty-six".