1813737913344 has 1056 divisors, whose sum is σ = 6792397977600. Its totient is φ = 474890895360.

The previous prime is 1813737913301. The next prime is 1813737913357. The reversal of 1813737913344 is 4433197373181.

1813737913344 is a `hidden beast` number, since 1 + 8 + 137 + 379 + 133 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 797947792 + ... + 797950064.

Almost surely, 2^{1813737913344} is an apocalyptic number.

1813737913344 is a gapful number since it is divisible by the number (14) 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 1813737913344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3396198988800).

1813737913344 is an abundant number, since it is smaller than the sum of its proper divisors (4978660064256).

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

1813737913344 is a wasteful number, since it uses less digits than its factorization.

1813737913344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2366 (or 2335 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The spelling of 1813737913344 in words is "one trillion, eight hundred thirteen billion, seven hundred thirty-seven million, nine hundred thirteen thousand, three hundred forty-four".