146221236014304 has 192 divisors, whose sum is σ = 443435931509760. Its totient is φ = 41695441797120.

The previous prime is 146221236014303. The next prime is 146221236014339. The reversal of 146221236014304 is 403410632122641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146221236014303) 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, 98339172 + ... + 99815004.

It is an arithmetic number, because the mean of its divisors is an integer number (2309562143280).

Almost surely, 2^{146221236014304} 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 146221236014304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221717965754880).

146221236014304 is an abundant number, since it is smaller than the sum of its proper divisors (297214695495456).

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

146221236014304 is a wasteful number, since it uses less digits than its factorization.

146221236014304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481393 (or 1481385 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

Adding to 146221236014304 its reverse (403410632122641), we get a palindrome (549631868136945).

The spelling of 146221236014304 in words is "one hundred forty-six trillion, two hundred twenty-one billion, two hundred thirty-six million, fourteen thousand, three hundred four".