8634899683872 has 864 divisors, whose sum is σ = 31410270388224. Its totient is φ = 2225007590400.

The previous prime is 8634899683867. The next prime is 8634899683901. The reversal of 8634899683872 is 2783869984368.

8634899683872 is a `hidden beast` number, since 8 + 6 + 3 + 489 + 9 + 68 + 3 + 8 + 72 = 666.

It is a super-2 number, since 2×8634899683872² (a number of 27 digits) contains 22 as substring.

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 = 8634899683791 and 8634899683800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18490148983 + ... + 18490149449.

It is an arithmetic number, because the mean of its divisors is an integer number (36354479616).

Almost surely, 2^{8634899683872} 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 8634899683872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15705135194112).

8634899683872 is an abundant number, since it is smaller than the sum of its proper divisors (22775370704352).

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

8634899683872 is a wasteful number, since it uses less digits than its factorization.

8634899683872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1184 counting only the distinct ones).

The product of its digits is 6019743744, while the sum is 81.

The spelling of 8634899683872 in words is "eight trillion, six hundred thirty-four billion, eight hundred ninety-nine million, six hundred eighty-three thousand, eight hundred seventy-two".