13783614023640 has 512 divisors, whose sum is σ = 45615165603840. Its totient is φ = 3316880793600.

The previous prime is 13783614023603. The next prime is 13783614023687. The reversal of 13783614023640 is 4632041638731.

It is a self number, because there is not a number n which added to its sum of digits gives 13783614023640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3495715509 + ... + 3495719451.

It is an arithmetic number, because the mean of its divisors is an integer number (89092120320).

Almost surely, 2^{13783614023640} is an apocalyptic number.

13783614023640 is a gapful number since it is divisible by the number (10) 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 13783614023640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22807582801920).

13783614023640 is an abundant number, since it is smaller than the sum of its proper divisors (31831551580200).

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

13783614023640 is a wasteful number, since it uses less digits than its factorization.

13783614023640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4503 (or 4499 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 13783614023640 in words is "thirteen trillion, seven hundred eighty-three billion, six hundred fourteen million, twenty-three thousand, six hundred forty".