13845107657040 has 320 divisors, whose sum is σ = 48870004119552. Its totient is φ = 3209628928000.

The previous prime is 13845107657033. The next prime is 13845107657047. The reversal of 13845107657040 is 4075670154831.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13845107657033) and next prime (13845107657047).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13845107657047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 252385615 + ... + 252440465.

Almost surely, 2^{13845107657040} is an apocalyptic number.

13845107657040 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 13845107657040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24435002059776).

13845107657040 is an abundant number, since it is smaller than the sum of its proper divisors (35024896462512).

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

13845107657040 is a wasteful number, since it uses less digits than its factorization.

13845107657040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59058 (or 59052 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 51.

The spelling of 13845107657040 in words is "thirteen trillion, eight hundred forty-five billion, one hundred seven million, six hundred fifty-seven thousand, forty".