45584283841480 has 128 divisors (see below), whose sum is σ = 106885424378880. Its totient is φ = 17477041397760.

The previous prime is 45584283841337. The next prime is 45584283841489. The reversal of 45584283841480 is 8414838248554.

It is a super-3 number, since 3×45584283841480³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (64) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (45584283841489) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199837252 + ... + 200065228.

It is an arithmetic number, because the mean of its divisors is an integer number (835042377960).

Almost surely, 2^{45584283841480} is an apocalyptic number.

45584283841480 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 45584283841480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53442712189440).

45584283841480 is an abundant number, since it is smaller than the sum of its proper divisors (61301140537400).

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

45584283841480 is a wasteful number, since it uses less digits than its factorization.

45584283841480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229559 (or 229555 counting only the distinct ones).

The product of its (nonzero) digits is 157286400, while the sum is 64.

The spelling of 45584283841480 in words is "forty-five trillion, five hundred eighty-four billion, two hundred eighty-three million, eight hundred forty-one thousand, four hundred eighty".