10946841400900 has 36 divisors (see below), whose sum is σ = 23766601301968. Its totient is φ = 4376532788640.

The previous prime is 10946841400897. The next prime is 10946841400927. The reversal of 10946841400900 is 900414864901.

10946841400900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27347454 + ... + 27744853.

Almost surely, 2^{10946841400900} is an apocalyptic number.

10946841400900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10946841400900 is an abundant number, since it is smaller than the sum of its proper divisors (12819759901068).

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

10946841400900 is a wasteful number, since it uses less digits than its factorization.

10946841400900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55094308 (or 55094301 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The spelling of 10946841400900 in words is "ten trillion, nine hundred forty-six billion, eight hundred forty-one million, four hundred thousand, nine hundred".