45768581656 has 64 divisors (see below), whose sum is σ = 100444841280. Its totient is φ = 19146792960.

The previous prime is 45768581647. The next prime is 45768581657. The reversal of 45768581656 is 65618586754.

It is a junction number, because it is equal to n+sod(n) for n = 45768581594 and 45768581603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45768581657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338826 + ... + 454246.

It is an arithmetic number, because the mean of its divisors is an integer number (1569450645).

Almost surely, 2^45768581656 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 45768581656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50222420640).

45768581656 is an abundant number, since it is smaller than the sum of its proper divisors (54676259624).

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

45768581656 is a wasteful number, since it uses less digits than its factorization.

45768581656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115604 (or 115600 counting only the distinct ones).

The product of its digits is 48384000, while the sum is 61.

The spelling of 45768581656 in words is "forty-five billion, seven hundred sixty-eight million, five hundred eighty-one thousand, six hundred fifty-six".