10934144208 has 80 divisors (see below), whose sum is σ = 33799295040. Its totient is φ = 3364350336.

The previous prime is 10934144173. The next prime is 10934144209. The reversal of 10934144208 is 80244143901.

It is a happy number.

10934144208 is a `hidden beast` number, since 109 + 341 + 4 + 4 + 208 = 666.

10934144208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10934144208² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10934144209) 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 15 ways as a sum of consecutive naturals, for example, 967866 + ... + 979097.

It is an arithmetic number, because the mean of its divisors is an integer number (422491188).

Almost surely, 2^10934144208 is an apocalyptic number.

10934144208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10934144208 is an abundant number, since it is smaller than the sum of its proper divisors (22865150832).

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

10934144208 is a wasteful number, since it uses less digits than its factorization.

10934144208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946993 (or 1946981 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 10934144208 in words is "ten billion, nine hundred thirty-four million, one hundred forty-four thousand, two hundred eight".