86349379104 has 288 divisors, whose sum is σ = 262501827840. Its totient is φ = 27602684928.

The previous prime is 86349379087. The next prime is 86349379147. The reversal of 86349379104 is 40197394368.

It is a happy number.

86349379104 is a `hidden beast` number, since 8 + 63 + 493 + 7 + 91 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114067494 + ... + 114068250.

It is an arithmetic number, because the mean of its divisors is an integer number (911464680).

Almost surely, 2^86349379104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86349379104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131250913920).

86349379104 is an abundant number, since it is smaller than the sum of its proper divisors (176152448736).

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

86349379104 is a wasteful number, since it uses less digits than its factorization.

86349379104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 86349379104 in words is "eighty-six billion, three hundred forty-nine million, three hundred seventy-nine thousand, one hundred four".