14514678000 has 120 divisors (see below), whose sum is σ = 50694994896. Its totient is φ = 3870576000.

The previous prime is 14514677977. The next prime is 14514678007. The reversal of 14514678000 is 87641541.

It is a happy number.

14514678000 is a `hidden beast` number, since 1 + 4 + 514 + 67 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14514678007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 385186 + ... + 421185.

Almost surely, 2^14514678000 is an apocalyptic number.

14514678000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14514678000 is an abundant number, since it is smaller than the sum of its proper divisors (36180316896).

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

14514678000 is a wasteful number, since it uses less digits than its factorization.

14514678000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806400 (or 806381 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 14514678000 in words is "fourteen billion, five hundred fourteen million, six hundred seventy-eight thousand".