86736994344 has 384 divisors, whose sum is σ = 325954272000. Its totient is φ = 20795512320.

The previous prime is 86736994343. The next prime is 86736994417. The reversal of 86736994344 is 44349963768.

86736994344 is a `hidden beast` number, since 86 + 7 + 36 + 99 + 434 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (86736994343) 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, 2360142 + ... + 2396610.

It is an arithmetic number, because the mean of its divisors is an integer number (848839250).

Almost surely, 2^86736994344 is an apocalyptic number.

86736994344 is a gapful number since it is divisible by the number (84) 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 86736994344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162977136000).

86736994344 is an abundant number, since it is smaller than the sum of its proper divisors (239217277656).

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

86736994344 is a wasteful number, since it uses less digits than its factorization.

86736994344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36526 (or 36505 counting only the distinct ones).

The product of its digits is 94058496, while the sum is 63.

The spelling of 86736994344 in words is "eighty-six billion, seven hundred thirty-six million, nine hundred ninety-four thousand, three hundred forty-four".