14909626368 has 384 divisors, whose sum is σ = 54376358400. Its totient is φ = 3930882048.

The previous prime is 14909626351. The next prime is 14909626373. The reversal of 14909626368 is 86362690941.

14909626368 is a `hidden beast` number, since 1 + 4 + 9 + 0 + 9 + 626 + 3 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5030455 + ... + 5033417.

It is an arithmetic number, because the mean of its divisors is an integer number (141605100).

Almost surely, 2^14909626368 is an apocalyptic number.

14909626368 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 14909626368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27188179200).

14909626368 is an abundant number, since it is smaller than the sum of its proper divisors (39466732032).

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

14909626368 is a wasteful number, since it uses less digits than its factorization.

14909626368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3014 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 14909626368 in words is "fourteen billion, nine hundred nine million, six hundred twenty-six thousand, three hundred sixty-eight".