378863625096 has 192 divisors, whose sum is σ = 1143637185600. Its totient is φ = 112344883200.

The previous prime is 378863625073. The next prime is 378863625103. The reversal of 378863625096 is 690526368873.

378863625096 is a `hidden beast` number, since 3 + 7 + 8 + 8 + 63 + 62 + 509 + 6 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6809631 + ... + 6865041.

It is an arithmetic number, because the mean of its divisors is an integer number (5956443675).

Almost surely, 2^378863625096 is an apocalyptic number.

378863625096 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 378863625096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571818592800).

378863625096 is an abundant number, since it is smaller than the sum of its proper divisors (764773560504).

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

378863625096 is a wasteful number, since it uses less digits than its factorization.

378863625096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55620 (or 55613 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 378863625096 in words is "three hundred seventy-eight billion, eight hundred sixty-three million, six hundred twenty-five thousand, ninety-six".