45020465644 has 72 divisors (see below), whose sum is σ = 100838382624. Its totient is φ = 17209420800.

The previous prime is 45020465641. The next prime is 45020465657. The reversal of 45020465644 is 44656402054.

It is a happy number.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 45020465597 and 45020465606.

It is not an unprimeable number, because it can be changed into a prime (45020465641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54204 + ... + 304924.

It is an arithmetic number, because the mean of its divisors is an integer number (1400533092).

Almost surely, 2^45020465644 is an apocalyptic number.

45020465644 is a gapful number since it is divisible by the number (44) 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 45020465644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50419191312).

45020465644 is an abundant number, since it is smaller than the sum of its proper divisors (55817916980).

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

45020465644 is a wasteful number, since it uses less digits than its factorization.

45020465644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250807 (or 250794 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

Adding to 45020465644 its reverse (44656402054), we get a palindrome (89676867698).

The spelling of 45020465644 in words is "forty-five billion, twenty million, four hundred sixty-five thousand, six hundred forty-four".