84146237448 has 384 divisors, whose sum is σ = 268583817600. Its totient is φ = 21772025856.

The previous prime is 84146237443. The next prime is 84146237471. The reversal of 84146237448 is 84473264148.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 84146237448.

It is not an unprimeable number, because it can be changed into a prime (84146237443) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 265445386 + ... + 265445702.

It is an arithmetic number, because the mean of its divisors is an integer number (699437025).

Almost surely, 2^84146237448 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 84146237448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134291908800).

84146237448 is an abundant number, since it is smaller than the sum of its proper divisors (184437580152).

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

84146237448 is a wasteful number, since it uses less digits than its factorization.

84146237448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 618 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 51.

The spelling of 84146237448 in words is "eighty-four billion, one hundred forty-six million, two hundred thirty-seven thousand, four hundred forty-eight".