14950368 has 144 divisors (see below), whose sum is σ = 46309536. Its totient is φ = 4561920.

The previous prime is 14950367. The next prime is 14950379. The reversal of 14950368 is 86305941.

14950368 is a `hidden beast` number, since 149 + 503 + 6 + 8 = 666.

14950368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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 (14950367) 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, 245058 + ... + 245118.

It is an arithmetic number, because the mean of its divisors is an integer number (321594).

Almost surely, 2^14950368 is an apocalyptic number.

14950368 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 14950368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23154768).

14950368 is an abundant number, since it is smaller than the sum of its proper divisors (31359168).

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

14950368 is a wasteful number, since it uses less digits than its factorization.

14950368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 14950368 is about 3866.5705735186. The cubic root of 14950368 is about 246.3489001247.

The spelling of 14950368 in words is "fourteen million, nine hundred fifty thousand, three hundred sixty-eight".