14948000 has 96 divisors (see below), whose sum is σ = 38093328. Its totient is φ = 5760000.

The previous prime is 14947997. The next prime is 14948009. The reversal of 14948000 is 84941.

It can be written as a sum of positive squares in 8 ways, for example, as 6210064 + 8737936 = 2492^2 + 2956^2 .

It is not an unprimeable number, because it can be changed into a prime (14948009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147950 + ... + 148050.

Almost surely, 2^14948000 is an apocalyptic number.

14948000 is a gapful number since it is divisible by the number (10) 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 14948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19046664).

14948000 is an abundant number, since it is smaller than the sum of its proper divisors (23145328).

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

14948000 is a wasteful number, since it uses less digits than its factorization.

14948000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 14948000 is about 3866.2643468858. The cubic root of 14948000 is about 246.3358929755.

The spelling of 14948000 in words is "fourteen million, nine hundred forty-eight thousand".