611122612352 has 72 divisors (see below), whose sum is σ = 1416385066455. Its totient is φ = 261883157760.

The previous prime is 611122612351. The next prime is 611122612379. The reversal of 611122612352 is 253216221116.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 305561306176 + 305561306176 = 552776^2 + 552776^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=552776.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (611122612351) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 61905977 + ... + 61915847.

Almost surely, 2^611122612352 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 611122612352

611122612352 is an abundant number, since it is smaller than the sum of its proper divisors (805262454103).

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

611122612352 is an frugal number, since it uses more digits than its factorization.

611122612352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19770 (or 9880 counting only the distinct ones).

The product of its digits is 8640, while the sum is 32.

Multiplying 611122612352 by its sum of digits (32), we get a square (19555923595264 = 4422208²).

611122612352 divided by its sum of digits (32) gives a square (19097581636 = 138194²).

Adding to 611122612352 its reverse (253216221116), we get a palindrome (864338833468).

The spelling of 611122612352 in words is "six hundred eleven billion, one hundred twenty-two million, six hundred twelve thousand, three hundred fifty-two".