384616166400 has 528 divisors, whose sum is σ = 1439204760000. Its totient is φ = 100619550720.

The previous prime is 384616166381. The next prime is 384616166411. The reversal of 384616166400 is 4661616483.

384616166400 is a `hidden beast` number, since 3 + 84 + 6 + 1 + 6 + 166 + 400 = 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 47 ways as a sum of consecutive naturals, for example, 36628351 + ... + 36638849.

Almost surely, 2^384616166400 is an apocalyptic number.

384616166400 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 384616166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719602380000).

384616166400 is an abundant number, since it is smaller than the sum of its proper divisors (1054588593600).

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

384616166400 is a wasteful number, since it uses less digits than its factorization.

384616166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10591 (or 10562 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 384616166400 in words is "three hundred eighty-four billion, six hundred sixteen million, one hundred sixty-six thousand, four hundred".