286383469972320 has 5376 divisors, whose sum is σ = 1325054287872000. Its totient is φ = 58352636805120.

The previous prime is 286383469972297. The next prime is 286383469972331. The reversal of 286383469972320 is 23279964383682.

286383469972320 is a `hidden beast` number, since 2 + 8 + 6 + 38 + 3 + 469 + 97 + 23 + 20 = 666.

It is a super-2 number, since 2×286383469972320² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 895 ways as a sum of consecutive naturals, for example, 6093265318537 + ... + 6093265318583.

It is an arithmetic number, because the mean of its divisors is an integer number (246475872000).

Almost surely, 2^{286383469972320} is an apocalyptic number.

286383469972320 is a gapful number since it is divisible by the number (20) 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 286383469972320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662527143936000).

286383469972320 is an abundant number, since it is smaller than the sum of its proper divisors (1038670817899680).

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

286383469972320 is an frugal number, since it uses more digits than its factorization.

286383469972320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1128701952, while the sum is 72.

The spelling of 286383469972320 in words is "two hundred eighty-six trillion, three hundred eighty-three billion, four hundred sixty-nine million, nine hundred seventy-two thousand, three hundred twenty".