10946016900 has 648 divisors, whose sum is σ = 43825543944. Its totient is φ = 2264371200.

The previous prime is 10946016881. The next prime is 10946016937. The reversal of 10946016900 is 961064901.

10946016900 is a `hidden beast` number, since 109 + 460 + 1 + 6 + 90 + 0 = 666.

10946016900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 10571129856 + 374887044 = 102816^2 + 19362^2 .

It is a super-2 number, since 2×10946016900² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 34971144 + ... + 34971456.

Almost surely, 2^10946016900 is an apocalyptic number.

10946016900 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 10946016900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21912771972).

10946016900 is an abundant number, since it is smaller than the sum of its proper divisors (32879527044).

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

10946016900 is a wasteful number, since it uses less digits than its factorization.

10946016900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 10946016900 in words is "ten billion, nine hundred forty-six million, sixteen thousand, nine hundred".