11200246942329 has 81 divisors (see below), whose sum is σ = 17047456176933. Its totient is φ = 7358218239528.

The previous prime is 11200246942321. The next prime is 11200246942369. The reversal of 11200246942329 is 92324964200211.

The square root of 11200246942329 is 3346677.

It is a perfect power (a square), and thus also a powerful number.

11200246942329 is a `hidden beast` number, since 1 + 1 + 200 + 24 + 69 + 42 + 329 = 666.

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 11200246942329 - 2³ = 11200246942321 is a prime.

It is a super-2 number, since 2×11200246942329² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11200246942321) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 21415385862 + ... + 21415386384.

Almost surely, 2^{11200246942329} is an apocalyptic number.

11200246942329 is the 3346677-th square number.

11200246942329 is the 1673339-th centered octagonal number.

It is an amenable number.

11200246942329 is a deficient number, since it is larger than the sum of its proper divisors (5847209234604).

11200246942329 is an frugal number, since it uses more digits than its factorization.

11200246942329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 605 counting only the distinct ones).

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

The spelling of 11200246942329 in words is "eleven trillion, two hundred billion, two hundred forty-six million, nine hundred forty-two thousand, three hundred twenty-nine".