252429187418112 has 192 divisors, whose sum is σ = 677058487560000. Its totient is φ = 83634419400704.

The previous prime is 252429187418099. The next prime is 252429187418147. The reversal of 252429187418112 is 211814781924252.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 814398139 + ... + 814708037.

It is an arithmetic number, because the mean of its divisors is an integer number (3526346289375).

Almost surely, 2^{252429187418112} 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 252429187418112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338529243780000).

252429187418112 is an abundant number, since it is smaller than the sum of its proper divisors (424629300141888).

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

252429187418112 is a wasteful number, since it uses less digits than its factorization.

252429187418112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310726 (or 310706 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 57.

The spelling of 252429187418112 in words is "two hundred fifty-two trillion, four hundred twenty-nine billion, one hundred eighty-seven million, four hundred eighteen thousand, one hundred twelve".