14649642 has 48 divisors (see below), whose sum is σ = 36504000. Its totient is φ = 4159296.

The previous prime is 14649637. The next prime is 14649647. The reversal of 14649642 is 24694641.

14649642 is a `hidden beast` number, since 1 + 4 + 6 + 4 + 9 + 642 = 666.

It is an interprime number because it is at equal distance from previous prime (14649637) and next prime (14649647).

It is a super-2 number, since 2×14649642² = 429224021456328, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14649597 and 14649606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14649647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29109 + ... + 29607.

It is an arithmetic number, because the mean of its divisors is an integer number (760500).

Almost surely, 2^14649642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14649642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18252000).

14649642 is an abundant number, since it is smaller than the sum of its proper divisors (21854358).

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

14649642 is a wasteful number, since it uses less digits than its factorization.

14649642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 744 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 14649642 is about 3827.4850750852. The cubic root of 14649642 is about 244.6859338185.

The spelling of 14649642 in words is "fourteen million, six hundred forty-nine thousand, six hundred forty-two".