378181146420 has 1728 divisors, whose sum is σ = 1606193971200. Its totient is φ = 71717184000.

The previous prime is 378181146403. The next prime is 378181146439. The reversal of 378181146420 is 24641181873.

378181146420 is a `hidden beast` number, since 3 + 7 + 8 + 1 + 81 + 146 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 5326494985 + ... + 5326495055.

It is an arithmetic number, because the mean of its divisors is an integer number (929510400).

Almost surely, 2^378181146420 is an apocalyptic number.

378181146420 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 378181146420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803096985600).

378181146420 is an abundant number, since it is smaller than the sum of its proper divisors (1228012824780).

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

378181146420 is a wasteful number, since it uses less digits than its factorization.

378181146420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 378181146420 in words is "three hundred seventy-eight billion, one hundred eighty-one million, one hundred forty-six thousand, four hundred twenty".