381414546396 has 144 divisors (see below), whose sum is σ = 1099722222144. Its totient is φ = 110419642368.

The previous prime is 381414546367. The next prime is 381414546397. The reversal of 381414546396 is 693645414183.

It is a happy number.

381414546396 is a `hidden beast` number, since 3 + 8 + 1 + 4 + 1 + 4 + 546 + 3 + 96 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381414546397) 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, 34977081 + ... + 34987983.

It is an arithmetic number, because the mean of its divisors is an integer number (7636959876).

Almost surely, 2^381414546396 is an apocalyptic number.

381414546396 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 381414546396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549861111072).

381414546396 is an abundant number, since it is smaller than the sum of its proper divisors (718307675748).

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

381414546396 is a wasteful number, since it uses less digits than its factorization.

381414546396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15340 (or 15335 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 381414546396 in words is "three hundred eighty-one billion, four hundred fourteen million, five hundred forty-six thousand, three hundred ninety-six".