14045061888 has 432 divisors, whose sum is σ = 48640790016. Its totient is φ = 3840860160.

The previous prime is 14045061881. The next prime is 14045062021. The reversal of 14045061888 is 88816054041.

14045061888 is a `hidden beast` number, since 14 + 0 + 450 + 6 + 188 + 8 = 666.

It is a super-3 number, since 3×14045061888³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (14045061881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15484731 + ... + 15485637.

Almost surely, 2^14045061888 is an apocalyptic number.

14045061888 is a gapful number since it is divisible by the number (18) 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 14045061888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24320395008).

14045061888 is an abundant number, since it is smaller than the sum of its proper divisors (34595728128).

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

14045061888 is a wasteful number, since it uses less digits than its factorization.

14045061888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 14045061888 in words is "fourteen billion, forty-five million, sixty-one thousand, eight hundred eighty-eight".