378868229018496 has 384 divisors, whose sum is σ = 1249754910044160. Its totient is φ = 107920319569920.

The previous prime is 378868229018491. The next prime is 378868229018533. The reversal of 378868229018496 is 694810922868873.

378868229018496 is a `hidden beast` number, since 3 + 7 + 8 + 8 + 6 + 8 + 22 + 90 + 18 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×378868229018496² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378868229018491) by changing a digit.

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, 10745883300 + ... + 10745918556.

It is an arithmetic number, because the mean of its divisors is an integer number (3254570078240).

Almost surely, 2^{378868229018496} is an apocalyptic number.

378868229018496 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 378868229018496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624877455022080).

378868229018496 is an abundant number, since it is smaller than the sum of its proper divisors (870886681025664).

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

378868229018496 is a wasteful number, since it uses less digits than its factorization.

378868229018496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39282 (or 39267 counting only the distinct ones).

The product of its (nonzero) digits is 4013162496, while the sum is 81.

The spelling of 378868229018496 in words is "three hundred seventy-eight trillion, eight hundred sixty-eight billion, two hundred twenty-nine million, eighteen thousand, four hundred ninety-six".