11839400550649 has 81 divisors (see below), whose sum is σ = 14922192402063. Its totient is φ = 9364598308800.

The previous prime is 11839400550587. The next prime is 11839400550697. The reversal of 11839400550649 is 94605500493811.

The square root of 11839400550649 is 3440843.

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

It can be written as a sum of positive squares in only one way, i.e., 570488664249 + 11268911886400 = 755307^2 + 3356920^2 .

It is not a de Polignac number, because 11839400550649 - 2¹¹ = 11839400548601 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11839400550649.

It is not an unprimeable number, because it can be changed into a prime (11839400550749) 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, 18762916564 + ... + 18762917194.

Almost surely, 2^{11839400550649} is an apocalyptic number.

11839400550649 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

11839400550649 is the 3440843-rd square number.

11839400550649 is the 1720422-nd centered octagonal number.

It is an amenable number.

11839400550649 is a deficient number, since it is larger than the sum of its proper divisors (3082791851414).

11839400550649 is an frugal number, since it uses more digits than its factorization.

11839400550649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 55.

The spelling of 11839400550649 in words is "eleven trillion, eight hundred thirty-nine billion, four hundred million, five hundred fifty thousand, six hundred forty-nine".