56446216890336 has 768 divisors, whose sum is σ = 213488322969600. Its totient is φ = 14090415077376.

The previous prime is 56446216890289. The next prime is 56446216890337. The reversal of 56446216890336 is 63309861264465.

56446216890336 is a `hidden beast` number, since 5 + 6 + 4 + 4 + 6 + 216 + 89 + 0 + 336 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56446216890337) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1677583465 + ... + 1677617111.

It is an arithmetic number, because the mean of its divisors is an integer number (277979587200).

Almost surely, 2^{56446216890336} is an apocalyptic number.

56446216890336 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56446216890336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106744161484800).

56446216890336 is an abundant number, since it is smaller than the sum of its proper divisors (157042106079264).

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

56446216890336 is a wasteful number, since it uses less digits than its factorization.

56446216890336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34828 (or 34814 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 63.

The spelling of 56446216890336 in words is "fifty-six trillion, four hundred forty-six billion, two hundred sixteen million, eight hundred ninety thousand, three hundred thirty-six".