61045639643664 has 240 divisors, whose sum is σ = 190826002104192. Its totient is φ = 18780618092544.

The previous prime is 61045639643657. The next prime is 61045639643701. The reversal of 61045639643664 is 46634693654016.

61045639643664 is a `hidden beast` number, since 6 + 1 + 0 + 4 + 56 + 3 + 96 + 436 + 64 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 373590109 + ... + 373753475.

Almost surely, 2^{61045639643664} 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 61045639643664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95413001052096).

61045639643664 is an abundant number, since it is smaller than the sum of its proper divisors (129780362460528).

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

61045639643664 is a wasteful number, since it uses less digits than its factorization.

61045639643664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170796 (or 170778 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 63.

The spelling of 61045639643664 in words is "sixty-one trillion, forty-five billion, six hundred thirty-nine million, six hundred forty-three thousand, six hundred sixty-four".