384181804656 has 160 divisors (see below), whose sum is σ = 1189689688320. Its totient is φ = 117998850816.

The previous prime is 384181804621. The next prime is 384181804663. The reversal of 384181804656 is 656408181483.

384181804656 is a `hidden beast` number, since 3 + 8 + 418 + 180 + 46 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3101055 + ... + 3222561.

It is an arithmetic number, because the mean of its divisors is an integer number (7435560552).

Almost surely, 2^384181804656 is an apocalyptic number.

384181804656 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 384181804656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594844844160).

384181804656 is an abundant number, since it is smaller than the sum of its proper divisors (805507883664).

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

384181804656 is a wasteful number, since it uses less digits than its factorization.

384181804656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122100 (or 122088 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 384181804656 in words is "three hundred eighty-four billion, one hundred eighty-one million, eight hundred four thousand, six hundred fifty-six".