556612611544 has 64 divisors (see below), whose sum is σ = 1188606804480. Its totient is φ = 241887360000.

The previous prime is 556612611517. The next prime is 556612611547. The reversal of 556612611544 is 445116216655.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 556612611494 and 556612611503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556612611547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4145869 + ... + 4278019.

It is an arithmetic number, because the mean of its divisors is an integer number (18571981320).

Almost surely, 2^556612611544 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 556612611544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594303402240).

556612611544 is an abundant number, since it is smaller than the sum of its proper divisors (631994192936).

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

556612611544 is a wasteful number, since it uses less digits than its factorization.

556612611544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134272 (or 134268 counting only the distinct ones).

The product of its digits is 864000, while the sum is 46.

It can be divided in two parts, 556612 and 611544, that added together give a triangular number (1168156 = T₁₅₂₈).

The spelling of 556612611544 in words is "five hundred fifty-six billion, six hundred twelve million, six hundred eleven thousand, five hundred forty-four".