557621606144 has 72 divisors (see below), whose sum is σ = 1128527761200. Its totient is φ = 274957959168.

The previous prime is 557621606107. The next prime is 557621606149. The reversal of 557621606144 is 441606126755.

It is a super-2 number, since 2×557621606144² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557621606149) 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 7 ways as a sum of consecutive naturals, for example, 6987782 + ... + 7067130.

Almost surely, 2^557621606144 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 557621606144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564263880600).

557621606144 is an abundant number, since it is smaller than the sum of its proper divisors (570906155056).

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

557621606144 is an equidigital number, since it uses as much as digits as its factorization.

557621606144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79745 (or 79731 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 47.

The spelling of 557621606144 in words is "five hundred fifty-seven billion, six hundred twenty-one million, six hundred six thousand, one hundred forty-four".