4456983410712 has 640 divisors, whose sum is σ = 15733175040000. Its totient is φ = 1150006201344.

The previous prime is 4456983410653. The next prime is 4456983410833. The reversal of 4456983410712 is 2170143896544.

4456983410712 is a `hidden beast` number, since 4 + 4 + 569 + 8 + 3 + 4 + 1 + 0 + 71 + 2 = 666.

It is a super-2 number, since 2×4456983410712² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 197436258 + ... + 197458830.

It is an arithmetic number, because the mean of its divisors is an integer number (24583086000).

It is a 1-persistent number, because it is pandigital, but 2⋅4456983410712 = 8913966821424 is not.

Almost surely, 2^{4456983410712} is an apocalyptic number.

4456983410712 is a gapful number since it is divisible by the number (42) 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 4456983410712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7866587520000).

4456983410712 is an abundant number, since it is smaller than the sum of its proper divisors (11276191629288).

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

4456983410712 is a wasteful number, since it uses less digits than its factorization.

4456983410712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22725 (or 22712 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 4456983410712 in words is "four trillion, four hundred fifty-six billion, nine hundred eighty-three million, four hundred ten thousand, seven hundred twelve".