2253814412382 has 512 divisors, whose sum is σ = 6126188544000. Its totient is φ = 607461120000.

The previous prime is 2253814412359. The next prime is 2253814412383. The reversal of 2253814412382 is 2832144183522.

2253814412382 is a `hidden beast` number, since 2 + 2 + 53 + 81 + 441 + 2 + 3 + 82 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2253814412383) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1211076132 + ... + 1211077992.

It is an arithmetic number, because the mean of its divisors is an integer number (11965212000).

Almost surely, 2^{2253814412382} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2253814412382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3063094272000).

2253814412382 is an abundant number, since it is smaller than the sum of its proper divisors (3872374131618).

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

2253814412382 is a wasteful number, since it uses less digits than its factorization.

2253814412382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2065 (or 2059 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The spelling of 2253814412382 in words is "two trillion, two hundred fifty-three billion, eight hundred fourteen million, four hundred twelve thousand, three hundred eighty-two".