378933489648 has 240 divisors, whose sum is σ = 1241055019776. Its totient is φ = 105673559040.

The previous prime is 378933489647. The next prime is 378933489677. The reversal of 378933489648 is 846984339873.

378933489648 is a `hidden beast` number, since 3 + 7 + 89 + 3 + 3 + 489 + 64 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378933489643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92624083 + ... + 92628173.

Almost surely, 2^378933489648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378933489648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620527509888).

378933489648 is an abundant number, since it is smaller than the sum of its proper divisors (862121530128).

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

378933489648 is a wasteful number, since it uses less digits than its factorization.

378933489648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6292 (or 6283 counting only the distinct ones).

The product of its digits is 752467968, while the sum is 72.

The spelling of 378933489648 in words is "three hundred seventy-eight billion, nine hundred thirty-three million, four hundred eighty-nine thousand, six hundred forty-eight".