8146283466048 has 224 divisors, whose sum is σ = 26530235886336. Its totient is φ = 2148260216832.

The previous prime is 8146283466043. The next prime is 8146283466067. The reversal of 8146283466048 is 8406643826418.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 8146283465982 and 8146283466000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8146283466043) 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, 270329190 + ... + 270359322.

It is an arithmetic number, because the mean of its divisors is an integer number (118438553064).

Almost surely, 2^{8146283466048} 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 8146283466048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13265117943168).

8146283466048 is an abundant number, since it is smaller than the sum of its proper divisors (18383952420288).

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

8146283466048 is a wasteful number, since it uses less digits than its factorization.

8146283466048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45641 (or 45631 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 60.

The spelling of 8146283466048 in words is "eight trillion, one hundred forty-six billion, two hundred eighty-three million, four hundred sixty-six thousand, forty-eight".