14646977982 has 384 divisors, whose sum is σ = 43651238400. Its totient is φ = 3597737472.

The previous prime is 14646977941. The next prime is 14646977993. The reversal of 14646977982 is 28977964641.

14646977982 is a `hidden beast` number, since 1 + 464 + 6 + 97 + 7 + 9 + 82 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 47709873 + ... + 47710179.

It is an arithmetic number, because the mean of its divisors is an integer number (113675100).

Almost surely, 2^14646977982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14646977982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21825619200).

14646977982 is an abundant number, since it is smaller than the sum of its proper divisors (29004260418).

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

14646977982 is a wasteful number, since it uses less digits than its factorization.

14646977982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 424 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 14646977982 in words is "fourteen billion, six hundred forty-six million, nine hundred seventy-seven thousand, nine hundred eighty-two".