13945880496114 has 48 divisors (see below), whose sum is σ = 34874563988160. Its totient is φ = 3945086416800.

The previous prime is 13945880496043. The next prime is 13945880496151. The reversal of 13945880496114 is 41169408854931.

13945880496114 is a `hidden beast` number, since 1 + 3 + 9 + 4 + 5 + 8 + 8 + 0 + 4 + 9 + 611 + 4 = 666.

13945880496114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×13945880496114⁴ (a number of 54 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 547915944 + ... + 547941395.

It is an arithmetic number, because the mean of its divisors is an integer number (726553416420).

Almost surely, 2^{13945880496114} is an apocalyptic number.

13945880496114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13945880496114 is an abundant number, since it is smaller than the sum of its proper divisors (20928683492046).

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

13945880496114 is a wasteful number, since it uses less digits than its factorization.

13945880496114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095857455 (or 1095857452 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 13945880496114 in words is "thirteen trillion, nine hundred forty-five billion, eight hundred eighty million, four hundred ninety-six thousand, one hundred fourteen".