4468357619712 has 448 divisors, whose sum is σ = 15175449699840. Its totient is φ = 1272841371648.

The previous prime is 4468357619711. The next prime is 4468357619743. The reversal of 4468357619712 is 2179167538644.

4468357619712 is a `hidden beast` number, since 4 + 4 + 6 + 8 + 3 + 5 + 7 + 619 + 7 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4468357619712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4468357619711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 537251778 + ... + 537260094.

Almost surely, 2^{4468357619712} is an apocalyptic number.

4468357619712 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 4468357619712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7587724849920).

4468357619712 is an abundant number, since it is smaller than the sum of its proper divisors (10707092080128).

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

4468357619712 is an equidigital number, since it uses as much as digits as its factorization.

4468357619712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8706 (or 8676 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 4468357619712 in words is "four trillion, four hundred sixty-eight billion, three hundred fifty-seven million, six hundred nineteen thousand, seven hundred twelve".