484173750144 has 768 divisors, whose sum is σ = 1623317760000. Its totient is φ = 125150429184.

The previous prime is 484173750119. The next prime is 484173750149. The reversal of 484173750144 is 441057371484.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 484173750093 and 484173750102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484173750149) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3249488182 + ... + 3249488330.

It is an arithmetic number, because the mean of its divisors is an integer number (2113695000).

Almost surely, 2^484173750144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484173750144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811658880000).

484173750144 is an abundant number, since it is smaller than the sum of its proper divisors (1139144009856).

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

484173750144 is a wasteful number, since it uses less digits than its factorization.

484173750144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 48.

The spelling of 484173750144 in words is "four hundred eighty-four billion, one hundred seventy-three million, seven hundred fifty thousand, one hundred forty-four".