86114196000 has 576 divisors, whose sum is σ = 354272196096. Its totient is φ = 19401984000.

The previous prime is 86114195977. The next prime is 86114196001. The reversal of 86114196000 is 69141168.

It is a happy number.

86114196000 is a `hidden beast` number, since 8 + 6 + 1 + 1 + 41 + 9 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (86114196001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17889594 + ... + 17894406.

It is an arithmetic number, because the mean of its divisors is an integer number (615055896).

Almost surely, 2^86114196000 is an apocalyptic number.

86114196000 is a gapful number since it is divisible by the number (80) 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 86114196000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177136098048).

86114196000 is an abundant number, since it is smaller than the sum of its proper divisors (268158000096).

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

86114196000 is a wasteful number, since it uses less digits than its factorization.

86114196000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4922 (or 4901 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 86114196000 in words is "eighty-six billion, one hundred fourteen million, one hundred ninety-six thousand".