11128631616 has 84 divisors (see below), whose sum is σ = 31922567092. Its totient is φ = 3706712064.

The previous prime is 11128631603. The next prime is 11128631623. The reversal of 11128631616 is 61613682111.

It is a happy number.

11128631616 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 8 + 6 + 31 + 616 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5029646400 + 6098985216 = 70920^2 + 78096^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 830280 + ... + 843576.

Almost surely, 2^11128631616 is an apocalyptic number.

11128631616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11128631616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15961283546).

11128631616 is an abundant number, since it is smaller than the sum of its proper divisors (20793935476).

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

11128631616 is a wasteful number, since it uses less digits than its factorization.

11128631616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14768 (or 14755 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The spelling of 11128631616 in words is "eleven billion, one hundred twenty-eight million, six hundred thirty-one thousand, six hundred sixteen".