253435740648 has 128 divisors (see below), whose sum is σ = 723392208000. Its totient is φ = 73487278080.

The previous prime is 253435740559. The next prime is 253435740683. The reversal of 253435740648 is 846047534352.

It is a super-3 number, since 3×253435740648³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 253435740648.

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 31 ways as a sum of consecutive naturals, for example, 80863 + ... + 716526.

It is an arithmetic number, because the mean of its divisors is an integer number (5651501625).

Almost surely, 2^253435740648 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 253435740648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361696104000).

253435740648 is an abundant number, since it is smaller than the sum of its proper divisors (469956467352).

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

253435740648 is a wasteful number, since it uses less digits than its factorization.

253435740648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797475 (or 797471 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 51.

The spelling of 253435740648 in words is "two hundred fifty-three billion, four hundred thirty-five million, seven hundred forty thousand, six hundred forty-eight".