86138164482048 has 1456 divisors, whose sum is σ = 309716896769280. Its totient is φ = 23409350148096.

The previous prime is 86138164482037. The next prime is 86138164482121. The reversal of 86138164482048 is 84028446183168.

It is a happy number.

86138164482048 is a `hidden beast` number, since 8 + 6 + 1 + 381 + 6 + 4 + 48 + 204 + 8 = 666.

It is a super-2 number, since 2×86138164482048² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 112013217408 + ... + 112013218176.

It is an arithmetic number, because the mean of its divisors is an integer number (212717648880).

Almost surely, 2^{86138164482048} 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 86138164482048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154858448384640).

86138164482048 is an abundant number, since it is smaller than the sum of its proper divisors (223578732287232).

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

86138164482048 is an equidigital number, since it uses as much as digits as its factorization.

86138164482048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 56623104, while the sum is 63.

The spelling of 86138164482048 in words is "eighty-six trillion, one hundred thirty-eight billion, one hundred sixty-four million, four hundred eighty-two thousand, forty-eight".