480288282182544 has 320 divisors, whose sum is σ = 1477931105783808. Its totient is φ = 132895760025600.

The previous prime is 480288282182543. The next prime is 480288282182561. The reversal of 480288282182544 is 445281282882084.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (480288282182543) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13730389 + ... + 33898379.

Almost surely, 2^{480288282182544} is an apocalyptic number.

480288282182544 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 480288282182544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738965552891904).

480288282182544 is an abundant number, since it is smaller than the sum of its proper divisors (997642823601264).

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

480288282182544 is a wasteful number, since it uses less digits than its factorization.

480288282182544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20168126 (or 20168120 counting only the distinct ones).

The product of its (nonzero) digits is 167772160, while the sum is 66.

The spelling of 480288282182544 in words is "four hundred eighty trillion, two hundred eighty-eight billion, two hundred eighty-two million, one hundred eighty-two thousand, five hundred forty-four".