286038613872 has 400 divisors, whose sum is σ = 1006612358400. Its totient is φ = 77284730880.

The previous prime is 286038613799. The next prime is 286038613907. The reversal of 286038613872 is 278316830682.

286038613872 is a `hidden beast` number, since 2 + 8 + 60 + 386 + 138 + 72 = 666.

286038613872 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×286038613872² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4573629 + ... + 4635747.

It is an arithmetic number, because the mean of its divisors is an integer number (2516530896).

Almost surely, 2^286038613872 is an apocalyptic number.

286038613872 is a gapful number since it is divisible by the number (22) 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 286038613872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503306179200).

286038613872 is an abundant number, since it is smaller than the sum of its proper divisors (720573744528).

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

286038613872 is a wasteful number, since it uses less digits than its factorization.

286038613872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62186 (or 62171 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 286038613872 in words is "two hundred eighty-six billion, thirty-eight million, six hundred thirteen thousand, eight hundred seventy-two".