4553961438312 has 320 divisors, whose sum is σ = 15133657714560. Its totient is φ = 1261220544000.

The previous prime is 4553961438239. The next prime is 4553961438317. The reversal of 4553961438312 is 2138341693554.

4553961438312 is a `hidden beast` number, since 4 + 5 + 5 + 3 + 9 + 614 + 3 + 8 + 3 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4553961438317) 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 79 ways as a sum of consecutive naturals, for example, 9115773 + ... + 9602355.

It is an arithmetic number, because the mean of its divisors is an integer number (47292680358).

Almost surely, 2^{4553961438312} 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 4553961438312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7566828857280).

4553961438312 is an abundant number, since it is smaller than the sum of its proper divisors (10579696276248).

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

4553961438312 is a wasteful number, since it uses less digits than its factorization.

4553961438312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486726 (or 486713 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 4553961438312 in words is "four trillion, five hundred fifty-three billion, nine hundred sixty-one million, four hundred thirty-eight thousand, three hundred twelve".