13945239992448 has 96 divisors (see below), whose sum is σ = 40809031426800. Its totient is φ = 4569626641920.

The previous prime is 13945239992429. The next prime is 13945239992483. The reversal of 13945239992448 is 84429993254931.

13945239992448 is a `hidden beast` number, since 1 + 3 + 9 + 4 + 5 + 2 + 3 + 99 + 92 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 102518838 + ... + 102654773.

Almost surely, 2^{13945239992448} is an apocalyptic number.

13945239992448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13945239992448 is an abundant number, since it is smaller than the sum of its proper divisors (26863791434352).

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

13945239992448 is a wasteful number, since it uses less digits than its factorization.

13945239992448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205173690 (or 205173675 counting only the distinct ones).

The product of its digits is 604661760, while the sum is 72.

The spelling of 13945239992448 in words is "thirteen trillion, nine hundred forty-five billion, two hundred thirty-nine million, nine hundred ninety-two thousand, four hundred forty-eight".