301863868020 has 432 divisors, whose sum is σ = 1117120088448. Its totient is φ = 67545757440.

The previous prime is 301863868001. The next prime is 301863868021. The reversal of 301863868020 is 20868368103.

301863868020 is a `hidden beast` number, since 3 + 0 + 1 + 8 + 638 + 6 + 8 + 0 + 2 + 0 = 666.

It is a super-2 number, since 2×301863868020² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301863868021) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18756417 + ... + 18772503.

Almost surely, 2^301863868020 is an apocalyptic number.

301863868020 is a gapful number since it is divisible by the number (30) 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 301863868020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558560044224).

301863868020 is an abundant number, since it is smaller than the sum of its proper divisors (815256220428).

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

301863868020 is a wasteful number, since it uses less digits than its factorization.

301863868020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16144 (or 16121 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 301863868020 in words is "three hundred one billion, eight hundred sixty-three million, eight hundred sixty-eight thousand, twenty".