253143642146016 has 24 divisors (see below), whose sum is σ = 664502060633544. Its totient is φ = 84381214048640.

The previous prime is 253143642145987. The next prime is 253143642146047. The reversal of 253143642146016 is 610641246341352.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1318456469415 + ... + 1318456469606.

It is an arithmetic number, because the mean of its divisors is an integer number (27687585859731).

Almost surely, 2^{253143642146016} is an apocalyptic number.

It is an amenable number.

253143642146016 is an abundant number, since it is smaller than the sum of its proper divisors (411358418487528).

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

253143642146016 is a wasteful number, since it uses less digits than its factorization.

253143642146016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2636912939034 (or 2636912939026 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

Adding to 253143642146016 its reverse (610641246341352), we get a palindrome (863784888487368).

The spelling of 253143642146016 in words is "two hundred fifty-three trillion, one hundred forty-three billion, six hundred forty-two million, one hundred forty-six thousand, sixteen".