45378384480 has 288 divisors, whose sum is σ = 181926894240. Its totient is φ = 10154557440.

The previous prime is 45378384473. The next prime is 45378384533. The reversal of 45378384480 is 8448387354.

45378384480 is a `hidden beast` number, since 4 + 5 + 3 + 7 + 83 + 84 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×45378384480³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95736 + ... + 316104.

It is an arithmetic number, because the mean of its divisors is an integer number (631690605).

Almost surely, 2^45378384480 is an apocalyptic number.

45378384480 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 45378384480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90963447120).

45378384480 is an abundant number, since it is smaller than the sum of its proper divisors (136548509760).

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

45378384480 is a wasteful number, since it uses less digits than its factorization.

45378384480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220414 (or 220403 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 45378384480 in words is "forty-five billion, three hundred seventy-eight million, three hundred eighty-four thousand, four hundred eighty".