4553588779344 has 800 divisors, whose sum is σ = 15585185341440. Its totient is φ = 1269833241600.

The previous prime is 4553588779309. The next prime is 4553588779361. The reversal of 4553588779344 is 4439778853554.

4553588779344 is a `hidden beast` number, since 4 + 5 + 5 + 3 + 588 + 7 + 7 + 9 + 34 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 858678997 + ... + 858684299.

Almost surely, 2^{4553588779344} is an apocalyptic number.

4553588779344 is a gapful number since it is divisible by the number (44) 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 4553588779344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7792592670720).

4553588779344 is an abundant number, since it is smaller than the sum of its proper divisors (11031596562096).

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

4553588779344 is a wasteful number, since it uses less digits than its factorization.

4553588779344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5461 (or 5446 counting only the distinct ones).

The product of its digits is 2032128000, while the sum is 72.

The spelling of 4553588779344 in words is "four trillion, five hundred fifty-three billion, five hundred eighty-eight million, seven hundred seventy-nine thousand, three hundred forty-four".