861468421248 has 224 divisors, whose sum is σ = 2642687556060. Its totient is φ = 279394043904.

The previous prime is 861468421243. The next prime is 861468421283. The reversal of 861468421248 is 842124864168.

861468421248 is a `hidden beast` number, since 8 + 614 + 6 + 8 + 4 + 2 + 12 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 861466135104 + 2286144 = 928152^2 + 1512^2 .

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 junction number, because it is equal to n+sod(n) for n = 861468421194 and 861468421203.

It is not an unprimeable number, because it can be changed into a prime (861468421243) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3327786 + ... + 3577302.

Almost surely, 2^861468421248 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 861468421248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321343778030).

861468421248 is an abundant number, since it is smaller than the sum of its proper divisors (1781219134812).

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

861468421248 is an equidigital number, since it uses as much as digits as its factorization.

861468421248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249586 (or 249559 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 54.

The spelling of 861468421248 in words is "eight hundred sixty-one billion, four hundred sixty-eight million, four hundred twenty-one thousand, two hundred forty-eight".