11890644131289 has 288 divisors, whose sum is σ = 21756912038400. Its totient is φ = 5737960166400.

The previous prime is 11890644131287. The next prime is 11890644131297. The reversal of 11890644131289 is 98213144609811.

11890644131289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11890644131289 - 2¹ = 11890644131287 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (11890644131287) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5456926002 + ... + 5456928180.

Almost surely, 2^{11890644131289} is an apocalyptic number.

11890644131289 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

11890644131289 is a deficient number, since it is larger than the sum of its proper divisors (9866267907111).

11890644131289 is a wasteful number, since it uses less digits than its factorization.

11890644131289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2545 (or 2527 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 57.

The spelling of 11890644131289 in words is "eleven trillion, eight hundred ninety billion, six hundred forty-four million, one hundred thirty-one thousand, two hundred eighty-nine".