114674584464 has 640 divisors, whose sum is σ = 406259712000. Its totient is φ = 30539980800.

The previous prime is 114674584463. The next prime is 114674584489. The reversal of 114674584464 is 464485476411.

114674584464 is a `hidden beast` number, since 1 + 1 + 4 + 67 + 45 + 84 + 464 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 114674584464.

It is not an unprimeable number, because it can be changed into a prime (114674584463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 72624027 + ... + 72625605.

It is an arithmetic number, because the mean of its divisors is an integer number (634780800).

Almost surely, 2^114674584464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114674584464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203129856000).

114674584464 is an abundant number, since it is smaller than the sum of its proper divisors (291585127536).

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

114674584464 is a wasteful number, since it uses less digits than its factorization.

114674584464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1672 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 54.

The spelling of 114674584464 in words is "one hundred fourteen billion, six hundred seventy-four million, five hundred eighty-four thousand, four hundred sixty-four".