378617633856 has 280 divisors, whose sum is σ = 1399284106176. Its totient is φ = 98342138880.

The previous prime is 378617633741. The next prime is 378617633897. The reversal of 378617633856 is 658336716873.

378617633856 is a `hidden beast` number, since 3 + 7 + 8 + 617 + 6 + 3 + 3 + 8 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 378617633793 and 378617633802.

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 39 ways as a sum of consecutive naturals, for example, 75091 + ... + 873426.

Almost surely, 2^378617633856 is an apocalyptic number.

378617633856 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 378617633856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699642053088).

378617633856 is an abundant number, since it is smaller than the sum of its proper divisors (1020666472320).

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

378617633856 is a wasteful number, since it uses less digits than its factorization.

378617633856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948559 (or 948540 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 63.

The spelling of 378617633856 in words is "three hundred seventy-eight billion, six hundred seventeen million, six hundred thirty-three thousand, eight hundred fifty-six".