1813364389632 has 288 divisors, whose sum is σ = 5309162127360. Its totient is φ = 547610849280.

The previous prime is 1813364389597. The next prime is 1813364389637. The reversal of 1813364389632 is 2369834633181.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1813364389637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25701219 + ... + 25771677.

It is an arithmetic number, because the mean of its divisors is an integer number (18434590720).

Almost surely, 2^{1813364389632} is an apocalyptic number.

1813364389632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1813364389632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2654581063680).

1813364389632 is an abundant number, since it is smaller than the sum of its proper divisors (3495797737728).

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

1813364389632 is a wasteful number, since it uses less digits than its factorization.

1813364389632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70579 (or 70565 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 57.

The spelling of 1813364389632 in words is "one trillion, eight hundred thirteen billion, three hundred sixty-four million, three hundred eighty-nine thousand, six hundred thirty-two".