384473907127296 has 1584 divisors, whose sum is σ = 1406185998235200. Its totient is φ = 104472318246912.

The previous prime is 384473907127273. The next prime is 384473907127309. The reversal of 384473907127296 is 692721709374483.

384473907127296 is a `hidden beast` number, since 3 + 8 + 4 + 473 + 9 + 0 + 7 + 127 + 29 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23690540110 + ... + 23690556338.

Almost surely, 2^{384473907127296} is an apocalyptic number.

384473907127296 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 384473907127296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703092999117600).

384473907127296 is an abundant number, since it is smaller than the sum of its proper divisors (1021712091107904).

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

384473907127296 is a wasteful number, since it uses less digits than its factorization.

384473907127296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16374 (or 16337 counting only the distinct ones).

The product of its (nonzero) digits is 768144384, while the sum is 72.

The spelling of 384473907127296 in words is "three hundred eighty-four trillion, four hundred seventy-three billion, nine hundred seven million, one hundred twenty-seven thousand, two hundred ninety-six".