1149366826900 has 18 divisors (see below), whose sum is σ = 2494126014590. Its totient is φ = 459746730720.

The previous prime is 1149366826837. The next prime is 1149366826903. The reversal of 1149366826900 is 96286639411.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2608553476 + 1146758273424 = 51074^2 + 1070868^2 .

It is a super-2 number, since 2×1149366826900² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1149366826903) 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 5 ways as a sum of consecutive naturals, for example, 5746834035 + ... + 5746834234.

Almost surely, 2^{1149366826900} is an apocalyptic number.

1149366826900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1149366826900 is an abundant number, since it is smaller than the sum of its proper divisors (1344759187690).

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

1149366826900 is a wasteful number, since it uses less digits than its factorization.

1149366826900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11493668283 (or 11493668276 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 55.

The spelling of 1149366826900 in words is "one trillion, one hundred forty-nine billion, three hundred sixty-six million, eight hundred twenty-six thousand, nine hundred".