45965283520 has 112 divisors (see below), whose sum is σ = 121060634688. Its totient is φ = 16513044480.

The previous prime is 45965283503. The next prime is 45965283571. The reversal of 45965283520 is 2538256954.

It is a super-2 number, since 2×45965283520² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4605 + ... + 303235.

It is an arithmetic number, because the mean of its divisors is an integer number (1080898524).

Almost surely, 2^45965283520 is an apocalyptic number.

45965283520 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 45965283520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60530317344).

45965283520 is an abundant number, since it is smaller than the sum of its proper divisors (75095351168).

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

45965283520 is a wasteful number, since it uses less digits than its factorization.

45965283520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298698 (or 298688 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 49.

The spelling of 45965283520 in words is "forty-five billion, nine hundred sixty-five million, two hundred eighty-three thousand, five hundred twenty".