11486838816 has 72 divisors (see below), whose sum is σ = 34384961520. Its totient is φ = 3627421056.

The previous prime is 11486838809. The next prime is 11486838823. The reversal of 11486838816 is 61883868411.

It is a happy number.

11486838816 is a `hidden beast` number, since 1 + 1 + 486 + 83 + 8 + 81 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (11486838809) and next prime (11486838823).

It is a tau number, because it is divible by the number of its divisors (72).

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

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, 1044130 + ... + 1055073.

It is an arithmetic number, because the mean of its divisors is an integer number (477568910).

Almost surely, 2^11486838816 is an apocalyptic number.

11486838816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11486838816 is an abundant number, since it is smaller than the sum of its proper divisors (22898122704).

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

11486838816 is a wasteful number, since it uses less digits than its factorization.

11486838816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2099238 (or 2099227 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 54.

The spelling of 11486838816 in words is "eleven billion, four hundred eighty-six million, eight hundred thirty-eight thousand, eight hundred sixteen".