61145433215412 has 288 divisors, whose sum is σ = 188189647994880. Its totient is φ = 15273468967680.

The previous prime is 61145433215401. The next prime is 61145433215417. The reversal of 61145433215412 is 21451233454116.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61145433215417) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 567964173 + ... + 568071819.

It is an arithmetic number, because the mean of its divisors is an integer number (653436277760).

Almost surely, 2^{61145433215412} 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 61145433215412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94094823997440).

61145433215412 is an abundant number, since it is smaller than the sum of its proper divisors (127044214779468).

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

61145433215412 is a wasteful number, since it uses less digits than its factorization.

61145433215412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111611 (or 111602 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

Adding to 61145433215412 its reverse (21451233454116), we get a palindrome (82596666669528).

The spelling of 61145433215412 in words is "sixty-one trillion, one hundred forty-five billion, four hundred thirty-three million, two hundred fifteen thousand, four hundred twelve".