11300825349 has 32 divisors (see below), whose sum is σ = 18322836480. Its totient is φ = 6826906800.

The previous prime is 11300825329. The next prime is 11300825351. The reversal of 11300825349 is 94352800311.

11300825349 is a `hidden beast` number, since 1 + 1 + 300 + 8 + 2 + 5 + 349 = 666.

It is not a de Polignac number, because 11300825349 - 2¹² = 11300821253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11300825309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31194 + ... + 153540.

It is an arithmetic number, because the mean of its divisors is an integer number (572588640).

Almost surely, 2^11300825349 is an apocalyptic number.

It is an amenable number.

11300825349 is a deficient number, since it is larger than the sum of its proper divisors (7022011131).

11300825349 is a wasteful number, since it uses less digits than its factorization.

11300825349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122678 (or 122672 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 11300825349 in words is "eleven billion, three hundred million, eight hundred twenty-five thousand, three hundred forty-nine".