252225148032 has 384 divisors, whose sum is σ = 889779945600. Its totient is φ = 67483975680.

The previous prime is 252225147989. The next prime is 252225148061. The reversal of 252225148032 is 230841522252.

252225148032 is a `hidden beast` number, since 2 + 522 + 2 + 51 + 4 + 80 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3755644 + ... + 3822212.

It is an arithmetic number, because the mean of its divisors is an integer number (2317135275).

Almost surely, 2^252225148032 is an apocalyptic number.

252225148032 is a gapful number since it is divisible by the number (22) 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 252225148032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444889972800).

252225148032 is an abundant number, since it is smaller than the sum of its proper divisors (637554797568).

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

252225148032 is a wasteful number, since it uses less digits than its factorization.

252225148032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66636 (or 66621 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 252225148032 in words is "two hundred fifty-two billion, two hundred twenty-five million, one hundred forty-eight thousand, thirty-two".