61433905806 has 96 divisors (see below), whose sum is σ = 164001958848. Its totient is φ = 16184724480.

The previous prime is 61433905801. The next prime is 61433905811. The reversal of 61433905806 is 60850933416.

61433905806 is a `hidden beast` number, since 61 + 4 + 3 + 3 + 9 + 0 + 580 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (61433905801) and next prime (61433905811).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61433905801) by changing a digit.

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, 1521430 + ... + 1561286.

It is an arithmetic number, because the mean of its divisors is an integer number (1708353738).

Almost surely, 2^61433905806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61433905806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82000979424).

61433905806 is an abundant number, since it is smaller than the sum of its proper divisors (102568053042).

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

61433905806 is a wasteful number, since it uses less digits than its factorization.

61433905806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40826 (or 40823 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 61433905806 in words is "sixty-one billion, four hundred thirty-three million, nine hundred five thousand, eight hundred six".