2353762742144 has 128 divisors (see below), whose sum is σ = 5342307022080. Its totient is φ = 1022517084160.

The previous prime is 2353762742143. The next prime is 2353762742179. The reversal of 2353762742144 is 4412472673532.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 2353762742092 and 2353762742101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2353762742143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39381467 + ... + 39441189.

It is an arithmetic number, because the mean of its divisors is an integer number (41736773610).

Almost surely, 2^{2353762742144} 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 2353762742144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2671153511040).

2353762742144 is an abundant number, since it is smaller than the sum of its proper divisors (2988544279936).

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

2353762742144 is a wasteful number, since it uses less digits than its factorization.

2353762742144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60988 (or 60976 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 50.

The spelling of 2353762742144 in words is "two trillion, three hundred fifty-three billion, seven hundred sixty-two million, seven hundred forty-two thousand, one hundred forty-four".