42864986106 has 192 divisors, whose sum is σ = 102963450240. Its totient is φ = 13200848640.

The previous prime is 42864986083. The next prime is 42864986191. The reversal of 42864986106 is 60168946824.

42864986106 is a `hidden beast` number, since 42 + 8 + 6 + 498 + 6 + 106 = 666.

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 95 ways as a sum of consecutive naturals, for example, 151466241 + ... + 151466523.

It is an arithmetic number, because the mean of its divisors is an integer number (536267970).

Almost surely, 2^42864986106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42864986106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51481725120).

42864986106 is an abundant number, since it is smaller than the sum of its proper divisors (60098464134).

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

42864986106 is a wasteful number, since it uses less digits than its factorization.

42864986106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 42864986106 in words is "forty-two billion, eight hundred sixty-four million, nine hundred eighty-six thousand, one hundred six".