11434934880 has 72 divisors (see below), whose sum is σ = 39021720192. Its totient is φ = 3049315584.

The previous prime is 11434934873. The next prime is 11434934881. The reversal of 11434934880 is 8843943411.

11434934880 is a `hidden beast` number, since 1 + 1 + 43 + 493 + 48 + 80 = 666.

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

It is a super-2 number, since 2×11434934880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11434934881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3969024 + ... + 3971903.

It is an arithmetic number, because the mean of its divisors is an integer number (541968336).

Almost surely, 2^11434934880 is an apocalyptic number.

11434934880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11434934880 is an abundant number, since it is smaller than the sum of its proper divisors (27586785312).

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

11434934880 is a wasteful number, since it uses less digits than its factorization.

11434934880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7940948 (or 7940937 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 11434934880 in words is "eleven billion, four hundred thirty-four million, nine hundred thirty-four thousand, eight hundred eighty".