384545470464000 has 3360 divisors, whose sum is σ = 1548726278299200. Its totient is φ = 94939958476800.

The previous prime is 384545470463977. The next prime is 384545470464013. The reversal of 384545470464000 is 464074545483.

384545470464000 is a `hidden beast` number, since 3 + 8 + 4 + 54 + 547 + 0 + 4 + 6 + 40 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2766514175931 + ... + 2766514176069.

It is an arithmetic number, because the mean of its divisors is an integer number (460930439970).

Almost surely, 2^{384545470464000} is an apocalyptic number.

384545470464000 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 384545470464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774363139149600).

384545470464000 is an abundant number, since it is smaller than the sum of its proper divisors (1164180807835200).

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

384545470464000 is an equidigital number, since it uses as much as digits as its factorization.

384545470464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 54.

The spelling of 384545470464000 in words is "three hundred eighty-four trillion, five hundred forty-five billion, four hundred seventy million, four hundred sixty-four thousand".