19861141608 has 768 divisors, whose sum is σ = 74724249600. Its totient is φ = 4612608000.

The previous prime is 19861141603. The next prime is 19861141627. The reversal of 19861141608 is 80614116891.

It is a happy number.

19861141608 is a `hidden beast` number, since 19 + 8 + 611 + 4 + 16 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (19861141603) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 151611703 + ... + 151611833.

It is an arithmetic number, because the mean of its divisors is an integer number (97297200).

Almost surely, 2^19861141608 is an apocalyptic number.

19861141608 is a gapful number since it is divisible by the number (18) 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 19861141608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37362124800).

19861141608 is an abundant number, since it is smaller than the sum of its proper divisors (54863107992).

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

19861141608 is a wasteful number, since it uses less digits than its factorization.

19861141608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 19861141608 in words is "nineteen billion, eight hundred sixty-one million, one hundred forty-one thousand, six hundred eight".