146420711424 has 840 divisors, whose sum is σ = 505411839072. Its totient is φ = 42042654720.

The previous prime is 146420711417. The next prime is 146420711441. The reversal of 146420711424 is 424117024641.

146420711424 is a `hidden beast` number, since 1 + 4 + 642 + 0 + 7 + 1 + 1 + 4 + 2 + 4 = 666.

146420711424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3571236844 + ... + 3571236884.

Almost surely, 2^146420711424 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 146420711424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252705919536).

146420711424 is an abundant number, since it is smaller than the sum of its proper divisors (358991127648).

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

146420711424 is an frugal number, since it uses more digits than its factorization.

146420711424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 146420711424 in words is "one hundred forty-six billion, four hundred twenty million, seven hundred eleven thousand, four hundred twenty-four".