286374295872 has 672 divisors, whose sum is σ = 1031010140160. Its totient is φ = 74112122880.

The previous prime is 286374295777. The next prime is 286374295919. The reversal of 286374295872 is 278592473682.

286374295872 is a `hidden beast` number, since 2 + 8 + 6 + 3 + 7 + 42 + 9 + 587 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 652333029 + ... + 652333467.

It is an arithmetic number, because the mean of its divisors is an integer number (1534241280).

Almost surely, 2^286374295872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286374295872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515505070080).

286374295872 is an abundant number, since it is smaller than the sum of its proper divisors (744635844288).

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

286374295872 is a wasteful number, since it uses less digits than its factorization.

286374295872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 806 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 286374295872 in words is "two hundred eighty-six billion, three hundred seventy-four million, two hundred ninety-five thousand, eight hundred seventy-two".