864417841542 has 96 divisors (see below), whose sum is σ = 2037146671872. Its totient is φ = 263799078912.

The previous prime is 864417841541. The next prime is 864417841589. The reversal of 864417841542 is 245148714468.

864417841542 is a `hidden beast` number, since 8 + 6 + 4 + 4 + 17 + 84 + 1 + 542 = 666.

It is a super-2 number, since 2×864417841542² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864417841541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82611403 + ... + 82621865.

It is an arithmetic number, because the mean of its divisors is an integer number (21220277832).

Almost surely, 2^864417841542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 864417841542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018573335936).

864417841542 is an abundant number, since it is smaller than the sum of its proper divisors (1172728830330).

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

864417841542 is a wasteful number, since it uses less digits than its factorization.

864417841542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17822 (or 17819 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 54.

The spelling of 864417841542 in words is "eight hundred sixty-four billion, four hundred seventeen million, eight hundred forty-one thousand, five hundred forty-two".