611406485102052 has 144 divisors (see below), whose sum is σ = 1588409527146624. Its totient is φ = 198176571840000.

The previous prime is 611406485102051. The next prime is 611406485102057. The reversal of 611406485102052 is 250201584604116.

611406485102052 is a `hidden beast` number, since 6 + 1 + 1 + 4 + 0 + 64 + 8 + 510 + 20 + 52 = 666.

It is a super-2 number, since 2×611406485102052² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 611406485101989 and 611406485102007.

It is not an unprimeable number, because it can be changed into a prime (611406485102051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6865756927 + ... + 6865845977.

It is an arithmetic number, because the mean of its divisors is an integer number (11030621716296).

Almost surely, 2^{611406485102052} 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 611406485102052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794204763573312).

611406485102052 is an abundant number, since it is smaller than the sum of its proper divisors (977003042044572).

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

611406485102052 is a wasteful number, since it uses less digits than its factorization.

611406485102052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104370 (or 104365 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 611406485102052 in words is "six hundred eleven trillion, four hundred six billion, four hundred eighty-five million, one hundred two thousand, fifty-two".