13845370880 has 192 divisors, whose sum is σ = 36629742240. Its totient is φ = 4980736000.

The previous prime is 13845370817. The next prime is 13845370883. The reversal of 13845370880 is 8807354831.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13845370883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11376032 + ... + 11377248.

Almost surely, 2^13845370880 is an apocalyptic number.

13845370880 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 13845370880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18314871120).

13845370880 is an abundant number, since it is smaller than the sum of its proper divisors (22784371360).

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

13845370880 is a wasteful number, since it uses less digits than its factorization.

13845370880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 47.

The spelling of 13845370880 in words is "thirteen billion, eight hundred forty-five million, three hundred seventy thousand, eight hundred eighty".