1611145242 has 320 divisors, whose sum is σ = 4661268480. Its totient is φ = 405627264.

The previous prime is 1611145231. The next prime is 1611145243. The reversal of 1611145242 is 2425411161.

1611145242 is a `hidden beast` number, since 1 + 611 + 1 + 4 + 5 + 2 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1611145243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 34279663 + ... + 34279709.

It is an arithmetic number, because the mean of its divisors is an integer number (14566464).

Almost surely, 2^1611145242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1611145242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2330634240).

1611145242 is an abundant number, since it is smaller than the sum of its proper divisors (3050123238).

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

1611145242 is a wasteful number, since it uses less digits than its factorization.

1611145242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 158 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 1611145242 is about 40139.0737561295. The cubic root of 1611145242 is about 1172.3165542702.

The spelling of 1611145242 in words is "one billion, six hundred eleven million, one hundred forty-five thousand, two hundred forty-two".