14932949760 has 216 divisors, whose sum is σ = 51799456800. Its totient is φ = 3971874816.

The previous prime is 14932949741. The next prime is 14932949771. The reversal of 14932949760 is 6794923941.

14932949760 is a `hidden beast` number, since 1 + 4 + 93 + 2 + 9 + 497 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14932949697 and 14932949706.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5171037 + ... + 5173923.

It is an arithmetic number, because the mean of its divisors is an integer number (239812300).

Almost surely, 2^14932949760 is an apocalyptic number.

14932949760 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 14932949760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25899728400).

14932949760 is an abundant number, since it is smaller than the sum of its proper divisors (36866507040).

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

14932949760 is a wasteful number, since it uses less digits than its factorization.

14932949760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3363 (or 3346 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 14932949760 in words is "fourteen billion, nine hundred thirty-two million, nine hundred forty-nine thousand, seven hundred sixty".