14945952 has 96 divisors (see below), whose sum is σ = 46835712. Its totient is φ = 4080384.

The previous prime is 14945881. The next prime is 14945969. The reversal of 14945952 is 25954941.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 14945952.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14973 + ... + 15939.

It is an arithmetic number, because the mean of its divisors is an integer number (487872).

Almost surely, 2^14945952 is an apocalyptic number.

14945952 is a gapful number since it is divisible by the number (12) 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 14945952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23417856).

14945952 is an abundant number, since it is smaller than the sum of its proper divisors (31889760).

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

14945952 is a wasteful number, since it uses less digits than its factorization.

14945952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 1002 counting only the distinct ones).

The product of its digits is 64800, while the sum is 39.

The square root of 14945952 is about 3865.9994826694. Note that the first 3 decimals coincide. The cubic root of 14945952 is about 246.3246424415.

The spelling of 14945952 in words is "fourteen million, nine hundred forty-five thousand, nine hundred fifty-two".