86241538944 has 512 divisors, whose sum is σ = 295369804800. Its totient is φ = 24512716800.

The previous prime is 86241538919. The next prime is 86241538949. The reversal of 86241538944 is 44983514268.

86241538944 is a `hidden beast` number, since 8 + 62 + 4 + 1 + 538 + 9 + 44 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 (86241538949) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46340574 + ... + 46342434.

It is an arithmetic number, because the mean of its divisors is an integer number (576894150).

Almost surely, 2^86241538944 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 86241538944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147684902400).

86241538944 is an abundant number, since it is smaller than the sum of its proper divisors (209128265856).

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

86241538944 is a wasteful number, since it uses less digits than its factorization.

86241538944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1971 (or 1953 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 86241538944 in words is "eighty-six billion, two hundred forty-one million, five hundred thirty-eight thousand, nine hundred forty-four".