10298411136 has 240 divisors, whose sum is σ = 32206796310. Its totient is φ = 3158618112.

The previous prime is 10298411087. The next prime is 10298411197. The reversal of 10298411136 is 63111489201.

10298411136 is a `hidden beast` number, since 102 + 9 + 8 + 411 + 136 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 4694990400 + 5603420736 = 68520^2 + 74856^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10298411136.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 32902116 + ... + 32902428.

Almost surely, 2^10298411136 is an apocalyptic number.

10298411136 is a gapful number since it is divisible by the number (16) 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 10298411136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16103398155).

10298411136 is an abundant number, since it is smaller than the sum of its proper divisors (21908385174).

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

10298411136 is an frugal number, since it uses more digits than its factorization.

10298411136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 10298411136 in words is "ten billion, two hundred ninety-eight million, four hundred eleven thousand, one hundred thirty-six".