253346161643352 has 128 divisors (see below), whose sum is σ = 711125471985600. Its totient is φ = 83562705506304.

The previous prime is 253346161643347. The next prime is 253346161643371.

It is a happy number.

253346161643352 is a `hidden beast` number, since 2 + 5 + 3 + 3 + 4 + 616 + 16 + 4 + 3 + 3 + 5 + 2 = 666.

253346161643352 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112804038 + ... + 115028010.

Almost surely, 2^{253346161643352} 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 253346161643352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355562735992800).

253346161643352 is an abundant number, since it is smaller than the sum of its proper divisors (457779310342248).

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

253346161643352 is a wasteful number, since it uses less digits than its factorization.

253346161643352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2229522 (or 2229512 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 54.

The spelling of 253346161643352 in words is "two hundred fifty-three trillion, three hundred forty-six billion, one hundred sixty-one million, six hundred forty-three thousand, three hundred fifty-two".