83863409130 has 112 divisors (see below), whose sum is σ = 226917161640. Its totient is φ = 22305331584.

The previous prime is 83863409111. The next prime is 83863409131. The reversal of 83863409130 is 3190436838.

83863409130 is a `hidden beast` number, since 8 + 3 + 8 + 634 + 0 + 9 + 1 + 3 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39930829929 + 43932579201 = 199827^2 + 209601^2 .

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (83863409131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2821024 + ... + 2850596.

Almost surely, 2^83863409130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83863409130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113458580820).

83863409130 is an abundant number, since it is smaller than the sum of its proper divisors (143053752510).

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

83863409130 is a wasteful number, since it uses less digits than its factorization.

83863409130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29987 (or 29972 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 83863409130 in words is "eighty-three billion, eight hundred sixty-three million, four hundred nine thousand, one hundred thirty".