864343571451120 has 480 divisors, whose sum is σ = 3169015982496000. Its totient is φ = 218338577989632.

The previous prime is 864343571451053. The next prime is 864343571451121. The reversal of 864343571451120 is 21154175343468.

864343571451120 is a `hidden beast` number, since 8 + 6 + 4 + 3 + 4 + 3 + 571 + 4 + 51 + 12 + 0 = 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 (864343571451121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3853420731 + ... + 3853645029.

It is an arithmetic number, because the mean of its divisors is an integer number (6602116630200).

Almost surely, 2^{864343571451120} is an apocalyptic number.

864343571451120 is a gapful number since it is divisible by the number (80) 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 864343571451120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584507991248000).

864343571451120 is an abundant number, since it is smaller than the sum of its proper divisors (2304672411044880).

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

864343571451120 is a wasteful number, since it uses less digits than its factorization.

864343571451120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234779 (or 234761 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 864343571451120 in words is "eight hundred sixty-four trillion, three hundred forty-three billion, five hundred seventy-one million, four hundred fifty-one thousand, one hundred twenty".