861329129472 has 384 divisors, whose sum is σ = 2857988689920. Its totient is φ = 244859535360.

The previous prime is 861329129471. The next prime is 861329129473. The reversal of 861329129472 is 274921923168.

861329129472 is a `hidden beast` number, since 8 + 61 + 3 + 2 + 91 + 29 + 472 = 666.

It is an interprime number because it is at equal distance from previous prime (861329129471) and next prime (861329129473).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (861329129471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 460356697 + ... + 460358567.

It is an arithmetic number, because the mean of its divisors is an integer number (7442678880).

Almost surely, 2^861329129472 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 861329129472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428994344960).

861329129472 is an abundant number, since it is smaller than the sum of its proper divisors (1996659560448).

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

861329129472 is a wasteful number, since it uses less digits than its factorization.

861329129472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137 (or 2106 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 861329129472 in words is "eight hundred sixty-one billion, three hundred twenty-nine million, one hundred twenty-nine thousand, four hundred seventy-two".