146306248704 has 1248 divisors, whose sum is σ = 577032228864. Its totient is φ = 35911434240.

The previous prime is 146306248667. The next prime is 146306248709. The reversal of 146306248704 is 407842603641.

146306248704 is a `hidden beast` number, since 1 + 4 + 630 + 6 + 2 + 4 + 8 + 7 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 146306248704.

It is not an unprimeable number, because it can be changed into a prime (146306248709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1762725847 + ... + 1762725929.

It is an arithmetic number, because the mean of its divisors is an integer number (462365568).

Almost surely, 2^146306248704 is an apocalyptic number.

146306248704 is a gapful number since it is divisible by the number (14) 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 146306248704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288516114432).

146306248704 is an abundant number, since it is smaller than the sum of its proper divisors (430725980160).

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

146306248704 is an equidigital number, since it uses as much as digits as its factorization.

146306248704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 146306248704 in words is "one hundred forty-six billion, three hundred six million, two hundred forty-eight thousand, seven hundred four".