4642454542464 has 256 divisors, whose sum is σ = 14149570560000. Its totient is φ = 1496942208000.

The previous prime is 4642454542463. The next prime is 4642454542483.

4642454542464 is a `hidden beast` number, since 4 + 6 + 4 + 2 + 4 + 54 + 542 + 46 + 4 = 666.

4642454542464 is nontrivially palindromic in base 10.

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 4642454542464.

It is not an unprimeable number, because it can be changed into a prime (4642454542463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305437137 + ... + 305452335.

It is an arithmetic number, because the mean of its divisors is an integer number (55271760000).

Almost surely, 2^{4642454542464} 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 4642454542464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7074785280000).

4642454542464 is an abundant number, since it is smaller than the sum of its proper divisors (9507116017536).

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

4642454542464 is a wasteful number, since it uses less digits than its factorization.

4642454542464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18104 (or 18086 counting only the distinct ones).

The product of its digits is 58982400, while the sum is 54.

The spelling of 4642454542464 in words is "four trillion, six hundred forty-two billion, four hundred fifty-four million, five hundred forty-two thousand, four hundred sixty-four".