10846628352 has 200 divisors, whose sum is σ = 37000224096. Its totient is φ = 3098953728.

The previous prime is 10846628333. The next prime is 10846628357. The reversal of 10846628352 is 25382664801.

10846628352 is a `hidden beast` number, since 10 + 8 + 4 + 6 + 628 + 3 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10846628298 and 10846628307.

It is not an unprimeable number, because it can be changed into a prime (10846628357) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 271623 + ... + 308985.

Almost surely, 2^10846628352 is an apocalyptic number.

10846628352 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 10846628352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18500112048).

10846628352 is an abundant number, since it is smaller than the sum of its proper divisors (26153595744).

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

10846628352 is an frugal number, since it uses more digits than its factorization.

10846628352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37400 (or 37375 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 10846628352 in words is "ten billion, eight hundred forty-six million, six hundred twenty-eight thousand, three hundred fifty-two".