86194530729648 has 400 divisors, whose sum is σ = 275109960898080. Its totient is φ = 25835894784000.

The previous prime is 86194530729641. The next prime is 86194530729661. The reversal of 86194530729648 is 84692703549168.

86194530729648 is a `hidden beast` number, since 8 + 6 + 1 + 9 + 4 + 530 + 7 + 29 + 64 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (86194530729641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2628747238 + ... + 2628780026.

It is a 2-persistent number, because it is pandigital, and so is 2⋅86194530729648 = 172389061459296, but 3⋅86194530729648 = 258583592188944 is not.

Almost surely, 2^{86194530729648} is an apocalyptic number.

86194530729648 is a gapful number since it is divisible by the number (88) 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 86194530729648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137554980449040).

86194530729648 is an abundant number, since it is smaller than the sum of its proper divisors (188915430168432).

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

86194530729648 is a wasteful number, since it uses less digits than its factorization.

86194530729648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34818 (or 34803 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 86194530729648 in words is "eighty-six trillion, one hundred ninety-four billion, five hundred thirty million, seven hundred twenty-nine thousand, six hundred forty-eight".