45866641920 has 640 divisors, whose sum is σ = 171506522880. Its totient is φ = 10333716480.

The previous prime is 45866641907. The next prime is 45866641921. The reversal of 45866641920 is 2914666854.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (45866641921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156541294 + ... + 156541586.

It is an arithmetic number, because the mean of its divisors is an integer number (267978942).

Almost surely, 2^45866641920 is an apocalyptic number.

45866641920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45866641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85753261440).

45866641920 is an abundant number, since it is smaller than the sum of its proper divisors (125639880960).

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

45866641920 is a wasteful number, since it uses less digits than its factorization.

45866641920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

It can be divided in two parts, 45866 and 641920, that added together give a palindrome (687786).

The spelling of 45866641920 in words is "forty-five billion, eight hundred sixty-six million, six hundred forty-one thousand, nine hundred twenty".