14378406048 has 72 divisors (see below), whose sum is σ = 41839525728. Its totient is φ = 4681337472.

The previous prime is 14378405999. The next prime is 14378406067. The reversal of 14378406048 is 84060487341.

14378406048 is a `hidden beast` number, since 1 + 4 + 37 + 8 + 4 + 0 + 604 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 14378405994 and 14378406012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 568140 + ... + 592907.

It is an arithmetic number, because the mean of its divisors is an integer number (581104524).

Almost surely, 2^14378406048 is an apocalyptic number.

14378406048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14378406048 is an abundant number, since it is smaller than the sum of its proper divisors (27461119680).

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

14378406048 is a wasteful number, since it uses less digits than its factorization.

14378406048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161106 (or 1161095 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 14378406048 in words is "fourteen billion, three hundred seventy-eight million, four hundred six thousand, forty-eight".