86143647744 has 720 divisors, whose sum is σ = 322892833536. Its totient is φ = 22295347200.

The previous prime is 86143647697. The next prime is 86143647761. The reversal of 86143647744 is 44774634168.

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

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

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, 306560884 + ... + 306561164.

Almost surely, 2^86143647744 is an apocalyptic number.

86143647744 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 86143647744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161446416768).

86143647744 is an abundant number, since it is smaller than the sum of its proper divisors (236749185792).

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

86143647744 is an equidigital number, since it uses as much as digits as its factorization.

86143647744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 304 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 54.

The spelling of 86143647744 in words is "eighty-six billion, one hundred forty-three million, six hundred forty-seven thousand, seven hundred forty-four".