45013332661920 has 1440 divisors, whose sum is σ = 205965305219520. Its totient is φ = 9173838643200.

The previous prime is 45013332661889. The next prime is 45013332662143. The reversal of 45013332661920 is 2916623331054.

45013332661920 is a `hidden beast` number, since 4 + 5 + 0 + 1 + 3 + 3 + 3 + 2 + 6 + 619 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 205008195 + ... + 205227645.

It is an arithmetic number, because the mean of its divisors is an integer number (143031461958).

Almost surely, 2^{45013332661920} is an apocalyptic number.

45013332661920 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 45013332661920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102982652609760).

45013332661920 is an abundant number, since it is smaller than the sum of its proper divisors (160951972557600).

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

45013332661920 is a wasteful number, since it uses less digits than its factorization.

45013332661920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219528 (or 219504 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

Adding to 45013332661920 its reverse (2916623331054), we get a palindrome (47929955992974).

The spelling of 45013332661920 in words is "forty-five trillion, thirteen billion, three hundred thirty-two million, six hundred sixty-one thousand, nine hundred twenty".