10846198272 has 480 divisors, whose sum is σ = 36806787072. Its totient is φ = 2777628672.

The previous prime is 10846198247. The next prime is 10846198277. The reversal of 10846198272 is 27289164801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (10846198277) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85403073 + ... + 85403199.

Almost surely, 2^10846198272 is an apocalyptic number.

10846198272 is a gapful number since it is divisible by the number (12) 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 10846198272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18403393536).

10846198272 is an abundant number, since it is smaller than the sum of its proper divisors (25960588800).

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

10846198272 is a wasteful number, since it uses less digits than its factorization.

10846198272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 10846198272 in words is "ten billion, eight hundred forty-six million, one hundred ninety-eight thousand, two hundred seventy-two".