384417467136 has 540 divisors, whose sum is σ = 1202422015872. Its totient is φ = 122135040000.

The previous prime is 384417467131. The next prime is 384417467207. The reversal of 384417467136 is 631764714483.

It is a happy number.

384417467136 is a `hidden beast` number, since 3 + 8 + 4 + 41 + 7 + 467 + 136 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (384417467131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2012656801 + ... + 2012656991.

Almost surely, 2^384417467136 is an apocalyptic number.

384417467136 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 384417467136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601211007936).

384417467136 is an abundant number, since it is smaller than the sum of its proper divisors (818004548736).

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

384417467136 is a wasteful number, since it uses less digits than its factorization.

384417467136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 328 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The spelling of 384417467136 in words is "three hundred eighty-four billion, four hundred seventeen million, four hundred sixty-seven thousand, one hundred thirty-six".