13880469601845 has 640 divisors, whose sum is σ = 32257226833920. Its totient is φ = 5544539320320.

The previous prime is 13880469601837. The next prime is 13880469601853. The reversal of 13880469601845 is 54810696408831.

13880469601845 is a `hidden beast` number, since 1 + 38 + 8 + 0 + 469 + 60 + 1 + 84 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (13880469601837) and next prime (13880469601853).

It is not a de Polignac number, because 13880469601845 - 2³ = 13880469601837 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 18681654544 + ... + 18681655286.

It is an arithmetic number, because the mean of its divisors is an integer number (50401916928).

Almost surely, 2^{13880469601845} is an apocalyptic number.

13880469601845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13880469601845 is an abundant number, since it is smaller than the sum of its proper divisors (18376757232075).

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

13880469601845 is a wasteful number, since it uses less digits than its factorization.

13880469601845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 13880469601845 in words is "thirteen trillion, eight hundred eighty billion, four hundred sixty-nine million, six hundred one thousand, eight hundred forty-five".