146121168024 has 384 divisors, whose sum is σ = 450281894400. Its totient is φ = 43872192000.

The previous prime is 146121168019. The next prime is 146121168047. The reversal of 146121168024 is 420861121641.

146121168024 is a `hidden beast` number, since 1 + 4 + 612 + 1 + 16 + 8 + 0 + 24 = 666.

146121168024 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 self number, because there is not a number n which added to its sum of digits gives 146121168024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 469842829 + ... + 469843139.

It is an arithmetic number, because the mean of its divisors is an integer number (1172609100).

Almost surely, 2^146121168024 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 146121168024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225140947200).

146121168024 is an abundant number, since it is smaller than the sum of its proper divisors (304160726376).

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

146121168024 is a wasteful number, since it uses less digits than its factorization.

146121168024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Adding to 146121168024 its reverse (420861121641), we get a palindrome (566982289665).

The spelling of 146121168024 in words is "one hundred forty-six billion, one hundred twenty-one million, one hundred sixty-eight thousand, twenty-four".