56114262144 has 192 divisors, whose sum is σ = 168835867200. Its totient is φ = 17855354880.

The previous prime is 56114262089. The next prime is 56114262173. The reversal of 56114262144 is 44126241165.

56114262144 is a `hidden beast` number, since 5 + 6 + 11 + 426 + 214 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 56114262099 and 56114262108.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 15127362 + ... + 15131070.

It is an arithmetic number, because the mean of its divisors is an integer number (879353475).

Almost surely, 2^56114262144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56114262144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84417933600).

56114262144 is an abundant number, since it is smaller than the sum of its proper divisors (112721605056).

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

56114262144 is a wasteful number, since it uses less digits than its factorization.

56114262144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4323 (or 4308 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

It can be divided in two parts, 561142 and 62144, that added together give a triangular number (623286 = T₁₁₁₆).

The spelling of 56114262144 in words is "fifty-six billion, one hundred fourteen million, two hundred sixty-two thousand, one hundred forty-four".