378254360484000 has 9216 divisors, whose sum is σ = 1993979917762560. Its totient is φ = 65318400000000.

The previous prime is 378254360483983. The next prime is 378254360484103. The reversal of 378254360484000 is 484063452873.

378254360484000 is a `hidden beast` number, since 3 + 7 + 8 + 25 + 4 + 3 + 604 + 8 + 4 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×378254360484000² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 1535 ways as a sum of consecutive naturals, for example, 1506989483875 + ... + 1506989484125.

It is an arithmetic number, because the mean of its divisors is an integer number (216360668160).

Almost surely, 2^{378254360484000} is an apocalyptic number.

378254360484000 is a gapful number since it is divisible by the number (30) 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 378254360484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996989958881280).

378254360484000 is an abundant number, since it is smaller than the sum of its proper divisors (1615725557278560).

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

378254360484000 is a wasteful number, since it uses less digits than its factorization.

378254360484000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 378254360484000 in words is "three hundred seventy-eight trillion, two hundred fifty-four billion, three hundred sixty million, four hundred eighty-four thousand".