152464112024224 has 384 divisors, whose sum is σ = 409983652915200. Its totient is φ = 53885024686080.

The previous prime is 152464112024153. The next prime is 152464112024233. The reversal of 152464112024224 is 422420211464251.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6552230062 + ... + 6552253330.

It is an arithmetic number, because the mean of its divisors is an integer number (1067665762800).

Almost surely, 2^{152464112024224} is an apocalyptic number.

152464112024224 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 152464112024224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204991826457600).

152464112024224 is an abundant number, since it is smaller than the sum of its proper divisors (257519540890976).

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

152464112024224 is a wasteful number, since it uses less digits than its factorization.

152464112024224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26836 (or 26828 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 40.

Adding to 152464112024224 its reverse (422420211464251), we get a palindrome (574884323488475).

The spelling of 152464112024224 in words is "one hundred fifty-two trillion, four hundred sixty-four billion, one hundred twelve million, twenty-four thousand, two hundred twenty-four".