10946139244200 has 1536 divisors, whose sum is σ = 41471274240000. Its totient is φ = 2644855234560.

The previous prime is 10946139244169. The next prime is 10946139244207. The reversal of 10946139244200 is 244293164901.

10946139244200 is a `hidden beast` number, since 1 + 0 + 9 + 4 + 613 + 9 + 2 + 4 + 4 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10946139244207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 55564158502 + ... + 55564158698.

It is an arithmetic number, because the mean of its divisors is an integer number (26999527500).

Almost surely, 2^{10946139244200} is an apocalyptic number.

10946139244200 is a gapful number since it is divisible by the number (10) 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 10946139244200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20735637120000).

10946139244200 is an abundant number, since it is smaller than the sum of its proper divisors (30525134995800).

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

10946139244200 is a wasteful number, since it uses less digits than its factorization.

10946139244200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 10946139244200 in words is "ten trillion, nine hundred forty-six billion, one hundred thirty-nine million, two hundred forty-four thousand, two hundred".