14948964 has 36 divisors (see below), whose sum is σ = 38250576. Its totient is φ = 4921968.

The previous prime is 14948939. The next prime is 14948977. The reversal of 14948964 is 46984941.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×14948964³ (a number of 23 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 487 + ... + 5489.

It is an arithmetic number, because the mean of its divisors is an integer number (1062516).

Almost surely, 2^14948964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14948964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19125288).

14948964 is an abundant number, since it is smaller than the sum of its proper divisors (23301612).

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

14948964 is a wasteful number, since it uses less digits than its factorization.

14948964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5096 (or 5091 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 14948964 is about 3866.3890130198. The cubic root of 14948964 is about 246.3411882814.

The spelling of 14948964 in words is "fourteen million, nine hundred forty-eight thousand, nine hundred sixty-four".