56446420032 has 252 divisors, whose sum is σ = 167824328308. Its totient is φ = 18137088000.

The previous prime is 56446420031. The next prime is 56446420057. The reversal of 56446420032 is 23002464465.

56446420032 is a `hidden beast` number, since 5 + 6 + 4 + 4 + 642 + 0 + 0 + 3 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 8653464576 + 47792955456 = 93024^2 + 218616^2 .

It is a super-3 number, since 3×56446420032³ (a number of 33 digits) contains 333 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 (56446420031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93920532 + ... + 93921132.

Almost surely, 2^56446420032 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 56446420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83912164154).

56446420032 is an abundant number, since it is smaller than the sum of its proper divisors (111377908276).

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

56446420032 is a wasteful number, since it uses less digits than its factorization.

56446420032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 56446420032 its reverse (23002464465), we get a palindrome (79448884497).

The spelling of 56446420032 in words is "fifty-six billion, four hundred forty-six million, four hundred twenty thousand, thirty-two".