86144146838784 has 432 divisors, whose sum is σ = 265300144968768. Its totient is φ = 27857869111296.

The previous prime is 86144146838759. The next prime is 86144146838797. The reversal of 86144146838784 is 48783864144168.

86144146838784 is a `hidden beast` number, since 8 + 6 + 1 + 4 + 4 + 1 + 468 + 3 + 87 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

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, 798634584 + ... + 798742440.

Almost surely, 2^{86144146838784} 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 86144146838784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132650072484384).

86144146838784 is an abundant number, since it is smaller than the sum of its proper divisors (179155998129984).

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

86144146838784 is a wasteful number, since it uses less digits than its factorization.

86144146838784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108272 (or 108246 counting only the distinct ones).

The product of its digits is 792723456, while the sum is 72.

The spelling of 86144146838784 in words is "eighty-six trillion, one hundred forty-four billion, one hundred forty-six million, eight hundred thirty-eight thousand, seven hundred eighty-four".