86148065376 has 192 divisors, whose sum is σ = 273611520000. Its totient is φ = 26266415616.

The previous prime is 86148065371. The next prime is 86148065411. The reversal of 86148065376 is 67356084168.

86148065376 is a `hidden beast` number, since 8 + 61 + 48 + 0 + 6 + 537 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86148065371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 385585 + ... + 566543.

It is an arithmetic number, because the mean of its divisors is an integer number (1425060000).

Almost surely, 2^86148065376 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 86148065376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136805760000).

86148065376 is an abundant number, since it is smaller than the sum of its proper divisors (187463454624).

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

86148065376 is a wasteful number, since it uses less digits than its factorization.

86148065376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181026 (or 181012 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 86148065376 in words is "eighty-six billion, one hundred forty-eight million, sixty-five thousand, three hundred seventy-six".