11946388464 has 40 divisors (see below), whose sum is σ = 34290560720. Its totient is φ = 3982129344.

The previous prime is 11946388459. The next prime is 11946388469. The reversal of 11946388464 is 46488364911.

11946388464 is a `hidden beast` number, since 11 + 94 + 6 + 3 + 88 + 464 = 666.

11946388464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11946388459) and next prime (11946388469).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 11946388464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11946388469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13826407 + ... + 13827270.

It is an arithmetic number, because the mean of its divisors is an integer number (857264018).

Almost surely, 2^11946388464 is an apocalyptic number.

It is an amenable number.

11946388464 is an abundant number, since it is smaller than the sum of its proper divisors (22344172256).

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

11946388464 is a wasteful number, since it uses less digits than its factorization.

11946388464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27653694 (or 27653682 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 11946388464 in words is "eleven billion, nine hundred forty-six million, three hundred eighty-eight thousand, four hundred sixty-four".