61649475674112 has 336 divisors, whose sum is σ = 195547292452512. Its totient is φ = 19341001359360.

The previous prime is 61649475674051. The next prime is 61649475674117. The reversal of 61649475674112 is 21147657494616.

It is a happy number.

61649475674112 is a `hidden beast` number, since 6 + 1 + 6 + 4 + 94 + 75 + 67 + 411 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 61649475674112.

It is not an unprimeable number, because it can be changed into a prime (61649475674117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32930287 + ... + 34752017.

It is an arithmetic number, because the mean of its divisors is an integer number (581985989442).

Almost surely, 2^{61649475674112} 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 61649475674112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97773646226256).

61649475674112 is an abundant number, since it is smaller than the sum of its proper divisors (133897816778400).

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

61649475674112 is an equidigital number, since it uses as much as digits as its factorization.

61649475674112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821789 (or 1821753 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 61649475674112 in words is "sixty-one trillion, six hundred forty-nine billion, four hundred seventy-five million, six hundred seventy-four thousand, one hundred twelve".