286145108346900 has 144 divisors (see below), whose sum is σ = 903416171289408. Its totient is φ = 69350219520000.

The previous prime is 286145108346871. The next prime is 286145108346907. The reversal of 286145108346900 is 9643801541682.

It is a super-2 number, since 2×286145108346900² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286145108346907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1086550 + ... + 23947250.

It is an arithmetic number, because the mean of its divisors is an integer number (6273723411732).

Almost surely, 2^{286145108346900} is an apocalyptic number.

286145108346900 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 286145108346900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451708085644704).

286145108346900 is an abundant number, since it is smaller than the sum of its proper divisors (617271062942508).

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

286145108346900 is a wasteful number, since it uses less digits than its factorization.

286145108346900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22864522 (or 22864515 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The spelling of 286145108346900 in words is "two hundred eighty-six trillion, one hundred forty-five billion, one hundred eight million, three hundred forty-six thousand, nine hundred".