13845090240 has 336 divisors, whose sum is σ = 51989857920. Its totient is φ = 3497333760.

The previous prime is 13845090229. The next prime is 13845090247. The reversal of 13845090240 is 4209054831.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13845090195 and 13845090204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13845090247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1472755 + ... + 1482125.

It is an arithmetic number, because the mean of its divisors is an integer number (154731720).

Almost surely, 2^13845090240 is an apocalyptic number.

13845090240 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 13845090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25994928960).

13845090240 is an abundant number, since it is smaller than the sum of its proper divisors (38144767680).

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

13845090240 is an equidigital number, since it uses as much as digits as its factorization.

13845090240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9422 (or 9400 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 13845090240 in words is "thirteen billion, eight hundred forty-five million, ninety thousand, two hundred forty".