905681065464 has 192 divisors, whose sum is σ = 2972301696000. Its totient is φ = 243207816192.

The previous prime is 905681065451. The next prime is 905681065469. The reversal of 905681065464 is 464560186509.

905681065464 is a `hidden beast` number, since 9 + 0 + 568 + 10 + 6 + 5 + 4 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 905681065464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (905681065469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6156237 + ... + 6301635.

It is an arithmetic number, because the mean of its divisors is an integer number (15480738000).

Almost surely, 2^905681065464 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 905681065464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486150848000).

905681065464 is an abundant number, since it is smaller than the sum of its proper divisors (2066620630536).

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

905681065464 is a wasteful number, since it uses less digits than its factorization.

905681065464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146162 (or 146155 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 905681065464 in words is "nine hundred five billion, six hundred eighty-one million, sixty-five thousand, four hundred sixty-four".