11146688496 has 120 divisors (see below), whose sum is σ = 31533815040. Its totient is φ = 3675466368.

The previous prime is 11146688477. The next prime is 11146688521. The reversal of 11146688496 is 69488664111.

11146688496 is a `hidden beast` number, since 1 + 1 + 14 + 66 + 88 + 496 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 5608815 + ... + 5610801.

It is an arithmetic number, because the mean of its divisors is an integer number (262781792).

Almost surely, 2^11146688496 is an apocalyptic number.

11146688496 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 11146688496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15766907520).

11146688496 is an abundant number, since it is smaller than the sum of its proper divisors (20387126544).

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

11146688496 is a wasteful number, since it uses less digits than its factorization.

11146688496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2403 (or 2394 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The spelling of 11146688496 in words is "eleven billion, one hundred forty-six million, six hundred eighty-eight thousand, four hundred ninety-six".